diff --git a/paddle/fluid/imperative/prepared_operator.cc b/paddle/fluid/imperative/prepared_operator.cc
index fe60f05e1da43..5f144c08d21e3 100644
--- a/paddle/fluid/imperative/prepared_operator.cc
+++ b/paddle/fluid/imperative/prepared_operator.cc
@@ -369,6 +369,10 @@ static void BuildDygraphPtenKernelContext(
     size_t end_idx = start_idx + outs_vector.size();
 
     for (size_t offset = 0; offset < outs_vector.size(); ++offset) {
+      if (outs_vector[offset] == nullptr) {
+        kernel_ctx->EmplaceBackOutputWithoutSetRange({nullptr});
+        continue;
+      }
       auto* var = outs_vector[offset]->MutableVar();
       framework::Tensor* tensor_out = nullptr;
       if (var->template IsType<framework::LoDTensor>()) {
diff --git a/paddle/fluid/operators/elementwise/elementwise_add_op.cc b/paddle/fluid/operators/elementwise/elementwise_add_op.cc
index 0c2476fde05c2..f462c2ea0720b 100644
--- a/paddle/fluid/operators/elementwise/elementwise_add_op.cc
+++ b/paddle/fluid/operators/elementwise/elementwise_add_op.cc
@@ -33,34 +33,6 @@ class CPUDeviceContext;
 namespace paddle {
 namespace operators {
 
-template <typename T>
-struct SameDimsElemwiseAdd<
-    platform::CPUDeviceContext, T,
-    typename std::enable_if<std::is_floating_point<T>::value>::type> {
-  void operator()(const framework::ExecutionContext &ctx,
-                  const framework::Tensor *x, const framework::Tensor *y,
-                  framework::Tensor *z) {
-    auto blas = math::GetBlas<platform::CPUDeviceContext, T>(ctx);
-    blas.VADD(x->numel(), x->data<T>(), y->data<T>(), z->data<T>());
-  }
-};
-
-template <typename T>
-struct SameDimsElemwiseAdd<
-    platform::CPUDeviceContext, T,
-    typename std::enable_if<!std::is_floating_point<T>::value>::type> {
-  void operator()(const framework::ExecutionContext &ctx,
-                  const framework::Tensor *x, const framework::Tensor *y,
-                  framework::Tensor *z) {
-    auto eigen_x = framework::EigenVector<T>::Flatten(*x);
-    auto eigen_y = framework::EigenVector<T>::Flatten(*y);
-    auto eigen_z = framework::EigenVector<T>::Flatten(*z);
-    auto &place = *ctx.template device_context<platform::CPUDeviceContext>()
-                       .eigen_device();
-    eigen_z.device(place) = eigen_x + eigen_y;
-  }
-};
-
 class ElementwiseAddOpMaker : public ElementwiseOpMaker {
  protected:
   std::string GetName() const override { return "Add"; }
diff --git a/paddle/fluid/operators/elementwise/elementwise_add_op.cu b/paddle/fluid/operators/elementwise/elementwise_add_op.cu
index 779779b44da8d..2326aa561eaa0 100644
--- a/paddle/fluid/operators/elementwise/elementwise_add_op.cu
+++ b/paddle/fluid/operators/elementwise/elementwise_add_op.cu
@@ -13,139 +13,13 @@ See the License for the specific language governing permissions and
 limitations under the License. */
 
 #include "paddle/fluid/operators/elementwise/elementwise_add_op.h"
+#include "paddle/pten/kernels/gpu/elementwise.h"
 
 namespace ops = paddle::operators;
 namespace plat = paddle::platform;
 
 namespace paddle {
-namespace operators {
-
-template <typename T>
-static __global__ void SimpleElemwiseAddGradCUDAKernel(
-    const T* __restrict__ dout, int size, int vec_size, T* dx, T* dy) {
-  int tid = blockIdx.x * blockDim.x + threadIdx.x;
-  int stride = gridDim.x * blockDim.x;
-  int loop = size / vec_size;
-  int remainder = size % vec_size;
-  const float4* dout_vec = reinterpret_cast<const float4*>(dout);
-  float4* dx_vec = reinterpret_cast<float4*>(dx);
-  float4* dy_vec = reinterpret_cast<float4*>(dy);
-  float4 tmp_loop;
-
-  for (int i = tid; i < loop; i += stride) {
-    tmp_loop = dout_vec[i];
-    dx_vec[i] = tmp_loop;
-    dy_vec[i] = tmp_loop;
-  }
-
-  if (tid == loop && remainder != 0) {
-    T tmp_rem;
-    while (remainder) {
-      int idx = size - remainder;
-      remainder--;
-      tmp_rem = dout[idx];
-      dx[idx] = tmp_rem;
-      dy[idx] = tmp_rem;
-    }
-  }
-}
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_same<DeviceContext, platform::CUDADeviceContext>::value>::type
-default_elementwise_add_grad(const framework::ExecutionContext& ctx,
-                             const framework::Tensor* x,
-                             const framework::Tensor* y,
-                             const framework::Tensor* out,
-                             const framework::Tensor* dout,
-                             framework::Tensor* dx, framework::Tensor* dy) {
-  int axis = ctx.Attr<int>("axis");
-  auto* dout_data = dout->data<T>();
-
-  // dx
-  if (dx != nullptr) {
-    auto* dx_data = dx->mutable_data<T>(ctx.GetPlace());
-    if (dx->dims() == dout->dims()) {
-      if (dx_data != dout_data) {
-        framework::TensorCopy(
-            *dout, ctx.GetPlace(),
-            ctx.template device_context<platform::DeviceContext>(), dx);
-      }
-    } else {
-      // For inplace strategy, dx will be stored in addr of dout, which makes
-      // the result of dy wrong.
-      if (dx->IsSharedBufferWith(*dout)) {
-        dx->clear();
-        dx->mutable_data<T>(x->dims(), ctx.GetPlace());
-      }
-      std::vector<int> reduce_dims = GetReduceDim(x->dims(), out->dims(), axis);
-      gpuStream_t stream = ctx.cuda_device_context().stream();
-      TensorReduceFunctorImpl<T, T, kps::AddFunctor, kps::IdentityFunctor<T>>(
-          *dout, dx, kps::IdentityFunctor<T>(), reduce_dims, stream);
-    }
-  }
-  // dy
-  if (dy != nullptr) {
-    auto* dy_data = dy->mutable_data<T>(ctx.GetPlace());
-    if (dy->dims() == dout->dims()) {
-      if (dy_data != dout_data) {
-        framework::TensorCopy(
-            *dout, ctx.GetPlace(),
-            ctx.template device_context<platform::DeviceContext>(), dy);
-      }
-    } else {
-      std::vector<int> reduce_dims = GetReduceDim(y->dims(), out->dims(), axis);
-      gpuStream_t stream = ctx.cuda_device_context().stream();
-      TensorReduceFunctorImpl<T, T, kps::AddFunctor, kps::IdentityFunctor<T>>(
-          *dout, dy, kps::IdentityFunctor<T>(), reduce_dims, stream);
-    }
-  }
-}
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_same<DeviceContext, plat::CUDADeviceContext>::value>::type
-elementwise_add_grad(const framework::ExecutionContext& ctx,
-                     const framework::Tensor* x, const framework::Tensor* y,
-                     const framework::Tensor* out,
-                     const framework::Tensor* dout, framework::Tensor* dx,
-                     framework::Tensor* dy) {
-  auto* dx_data = dx->mutable_data<T>(ctx.GetPlace());
-  auto* dy_data = dy->mutable_data<T>(ctx.GetPlace());
-  auto* dout_data = dout->data<T>();
-  if (dx_data == dout_data && dy_data != dout_data) {
-    VLOG(4) << "Special case when dx_data is the same as dout_data, "
-               "only need copy dout to dy";
-    framework::TensorCopy(
-        *dout, ctx.GetPlace(),
-        ctx.template device_context<platform::DeviceContext>(), dy);
-  } else if (dx_data != dout_data && dy_data == dout_data) {
-    VLOG(4) << "Special case when dy_data is the same as dout_data, "
-               "only need copy dout to dx";
-    framework::TensorCopy(
-        *dout, ctx.GetPlace(),
-        ctx.template device_context<platform::DeviceContext>(), dx);
-  } else if (dx_data != dout_data && dy_data != dout_data) {
-    auto size = x->numel();
-    int vec_size = max(static_cast<int>(sizeof(float4) / sizeof(T)), 1);
-    dim3 block_size = dim3(PREDEFINED_BLOCK_SIZE, 1);
-    dim3 grid_size =
-        dim3(((size + vec_size - 1) / vec_size + PREDEFINED_BLOCK_SIZE - 1) /
-                 PREDEFINED_BLOCK_SIZE,
-             1);
-    SimpleElemwiseAddGradCUDAKernel<
-        T><<<grid_size, block_size, 0,
-             ctx.template device_context<plat::CUDADeviceContext>().stream()>>>(
-        dout->data<T>(), size, vec_size, dx->mutable_data<T>(ctx.GetPlace()),
-        dy->mutable_data<T>(ctx.GetPlace()));
-  } else {
-    VLOG(4) << "Special case when dy_data is the same as dout_data, "
-               "and dx_data is the same as dout_data, do not need "
-               "any operator";
-  }
-}
-
-}  // namespace operators
+namespace operators {}  // namespace operators
 }  // namespace paddle
 REGISTER_OP_CUDA_KERNEL(
     elementwise_add, ops::ElementwiseAddKernel<plat::CUDADeviceContext, float>,
diff --git a/paddle/fluid/operators/elementwise/elementwise_add_op.h b/paddle/fluid/operators/elementwise/elementwise_add_op.h
index 5c4f791b2270c..73415d3fdb5c8 100644
--- a/paddle/fluid/operators/elementwise/elementwise_add_op.h
+++ b/paddle/fluid/operators/elementwise/elementwise_add_op.h
@@ -18,35 +18,13 @@ limitations under the License. */
 #include <utility>
 #include "paddle/fluid/operators/elementwise/elementwise_op.h"
 
+// only can include the headers in paddle/pten/include dirs
+#include "paddle/pten/kernels/elementwise_grad_kernel.h"
 #include "paddle/pten/kernels/math_kernel.h"
 
 namespace paddle {
 namespace operators {
 
-template <typename DeviceContext, typename T>
-void LaunchBroadcastElementwiseCpuKernel(const framework::ExecutionContext &ctx,
-                                         const framework::Tensor *x,
-                                         const framework::Tensor *y,
-                                         framework::Tensor *z) {
-  int axis = ctx.Attr<int>("axis");
-  auto x_dims = x->dims();
-  auto y_dims = y->dims();
-  if (x_dims.size() >= y_dims.size()) {
-    ElementwiseComputeEx<AddFunctor<T>, DeviceContext, T>(ctx, x, y, axis,
-                                                          AddFunctor<T>(), z);
-  } else {
-    ElementwiseComputeEx<InverseAddFunctor<T>, DeviceContext, T>(
-        ctx, x, y, axis, InverseAddFunctor<T>(), z);
-  }
-}
-
-template <typename DeviceContext, typename T, class Enable = void>
-struct SameDimsElemwiseAdd {
-  void operator()(const framework::ExecutionContext &ctx,
-                  const framework::Tensor *x, const framework::Tensor *y,
-                  framework::Tensor *z);
-};
-
 template <typename DeviceContext, typename T>
 class ElementwiseAddKernel : public framework::OpKernel<T> {
  public:
@@ -58,128 +36,29 @@ class ElementwiseAddKernel : public framework::OpKernel<T> {
 
     auto &dev_ctx = ctx.device_context<DeviceContext>();
     int axis = ctx.Attr<int>("axis");
-    auto pt_x = paddle::experimental::MakePtenDenseTensor(*x);
-    auto pt_y = paddle::experimental::MakePtenDenseTensor(*y);
-    auto pt_z = paddle::experimental::MakePtenDenseTensor(*z);
     pten::AddRawKernel<T>(
         static_cast<const typename framework::ConvertToPtenContext<
             DeviceContext>::TYPE &>(dev_ctx),
-        *pt_x.get(), *pt_y.get(), axis, pt_z.get());
+        *x, *y, axis, z);
   }
 };
 
-template <typename T>
-struct IdentityGrad {
-  HOSTDEVICE T operator()(T x, T y, T out, T dout) const { return dout; }
-};
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_same<DeviceContext, platform::CPUDeviceContext>::value>::type
-default_elementwise_add_grad(const framework::ExecutionContext &ctx,
-                             const framework::Tensor *x,
-                             const framework::Tensor *y,
-                             const framework::Tensor *out,
-                             const framework::Tensor *dout,
-                             framework::Tensor *dx, framework::Tensor *dy) {
-  int axis = ctx.Attr<int>("axis");
-
-  ElemwiseExplicitGradCompute<DeviceContext, T, IdentityGrad<T>,
-                              IdentityGrad<T>>(ctx, *x, *y, *out, *dout, axis,
-                                               dx, dy, IdentityGrad<T>(),
-                                               IdentityGrad<T>());
-}
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_floating_point<T>::value &&
-    std::is_same<DeviceContext, platform::CPUDeviceContext>::value>::type
-elementwise_add_grad(const framework::ExecutionContext &ctx,
-                     const framework::Tensor *x, const framework::Tensor *y,
-                     const framework::Tensor *out,
-                     const framework::Tensor *dout, framework::Tensor *dx,
-                     framework::Tensor *dy) {
-  auto blas = math::GetBlas<DeviceContext, T>(ctx);
-  if (dx) {
-    blas.VCOPY(dout->numel(), dout->data<T>(),
-               dx->mutable_data<T>(ctx.GetPlace()));
-  }
-
-  if (dy) {
-    blas.VCOPY(dout->numel(), dout->data<T>(),
-               dy->mutable_data<T>(ctx.GetPlace()));
-  }
-}
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    !std::is_floating_point<T>::value &&
-    std::is_same<DeviceContext, platform::CPUDeviceContext>::value>::type
-elementwise_add_grad(const framework::ExecutionContext &ctx,
-                     const framework::Tensor *x, const framework::Tensor *y,
-                     const framework::Tensor *out,
-                     const framework::Tensor *dout, framework::Tensor *dx,
-                     framework::Tensor *dy) {
-  default_elementwise_add_grad<DeviceContext, T>(ctx, x, y, out, dout, dx, dy);
-}
-
-#if defined(PADDLE_WITH_CUDA) || defined(PADDLE_WITH_HIP)
-// cuda definition
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_same<DeviceContext, platform::CUDADeviceContext>::value>::type
-elementwise_add_grad(const framework::ExecutionContext &ctx,
-                     const framework::Tensor *x, const framework::Tensor *y,
-                     const framework::Tensor *out,
-                     const framework::Tensor *dout, framework::Tensor *dx,
-                     framework::Tensor *dy);
-
-template <typename DeviceContext, typename T>
-typename std::enable_if<
-    std::is_same<DeviceContext, platform::CUDADeviceContext>::value>::type
-default_elementwise_add_grad(const framework::ExecutionContext &ctx,
-                             const framework::Tensor *x,
-                             const framework::Tensor *y,
-                             const framework::Tensor *out,
-                             const framework::Tensor *dout,
-                             framework::Tensor *dx, framework::Tensor *dy);
-#endif
-
 template <typename DeviceContext, typename T>
 class ElementwiseAddGradKernel : public ElemwiseGradKernel<T> {
  public:
   void Compute(const framework::ExecutionContext &ctx) const override {
-    ElemwiseGradKernel<T>::Compute(ctx);
-
     using Tensor = framework::Tensor;
-
     auto *x = ctx.Input<Tensor>("X");
     auto *y = ctx.Input<Tensor>("Y");
     auto *dout = ctx.Input<Tensor>(framework::GradVarName("Out"));
     auto *dx = ctx.Output<Tensor>(framework::GradVarName("X"));
     auto *dy = ctx.Output<Tensor>(framework::GradVarName("Y"));
-    // skip out
-    auto *out = dout;
-
-    // Special case when dy is not needed and dx doesn't reduce
-    if (dx != nullptr && dy == nullptr && dx->dims() == dout->dims()) {
-      VLOG(4) << "Special case when dy is not needed and dx doesn't "
-                 "reduce";
-      framework::TensorCopy(
-          *dout, ctx.GetPlace(),
-          ctx.template device_context<platform::DeviceContext>(), dx);
-    } else if (dx == nullptr && dy != nullptr && dy->dims() == dout->dims()) {
-      VLOG(4) << "Special case when dx is not needed and dy doesn't "
-                 "reduce";
-      framework::TensorCopy(
-          *dout, ctx.GetPlace(),
-          ctx.template device_context<platform::DeviceContext>(), dy);
-    } else if (dx != nullptr && dy != nullptr && (dx->dims() == dy->dims())) {
-      elementwise_add_grad<DeviceContext, T>(ctx, x, y, out, dout, dx, dy);
-    } else {
-      default_elementwise_add_grad<DeviceContext, T>(ctx, x, y, out, dout, dx,
-                                                     dy);
-    }
+    const auto &dev_ctx = ctx.template device_context<DeviceContext>();
+    int axis = ctx.Attr<int>("axis");
+    pten::AddGradKernel<T>(
+        static_cast<const typename framework::ConvertToPtenContext<
+            DeviceContext>::TYPE &>(dev_ctx),
+        *x, *y, *dout, axis, dx, dy);
   }
 };
 
@@ -195,17 +74,20 @@ class ElementwiseAddDoubleGradKernel : public framework::OpKernel<T> {
     auto *ddy = ctx.Input<Tensor>("DDY");
 
     auto *ddout = ctx.Output<Tensor>("DDOut");
-
-    // ddOut = ddx + ddy
-    if (ddout) {
-      Tensor ddx_safe, ddy_safe;
-      GetDoubleGradSafeTensor<DeviceContext, T>(ctx, dout, ddx, &ddx_safe);
-      GetDoubleGradSafeTensor<DeviceContext, T>(ctx, y, ddy, &ddy_safe);
-
-      ddout->mutable_data<T>(ctx.GetPlace());
-      LaunchBroadcastElementwiseCpuKernel<DeviceContext, T>(ctx, &ddx_safe,
-                                                            &ddy_safe, ddout);
+    const auto &dev_ctx = ctx.template device_context<DeviceContext>();
+    int axis = ctx.Attr<int>("axis");
+    paddle::optional<const pten::DenseTensor &> ddx_optional = paddle::none;
+    paddle::optional<const pten::DenseTensor &> ddy_optional = paddle::none;
+    if (ddx != nullptr) {
+      ddx_optional = *ddx;
+    }
+    if (ddy != nullptr) {
+      ddy_optional = *ddy;
     }
+    pten::AddDoubleGradKernel<T>(
+        static_cast<const typename framework::ConvertToPtenContext<
+            DeviceContext>::TYPE &>(dev_ctx),
+        *y, ddx_optional, ddy_optional, *dout, axis, ddout);
   }
 };
 
@@ -219,32 +101,13 @@ class ElementwiseAddTripleGradKernel : public framework::OpKernel<T> {
     auto *d_ddout = ctx.Input<Tensor>("D_DDOut");
     auto *d_ddx = ctx.Output<Tensor>("D_DDX");
     auto *d_ddy = ctx.Output<Tensor>("D_DDY");
-    // skip out
-    auto *out = d_ddout;
-
-    // Special case when d_ddy is not needed and d_ddx doesn't reduce
-    if (d_ddx != nullptr && d_ddy == nullptr &&
-        d_ddx->dims() == d_ddout->dims()) {
-      VLOG(4) << "Special case when d_ddy is not needed and d_ddx doesn't "
-                 "reduce";
-      framework::TensorCopy(
-          *d_ddout, ctx.GetPlace(),
-          ctx.template device_context<platform::DeviceContext>(), d_ddx);
-    } else if (d_ddx == nullptr && d_ddy != nullptr &&
-               d_ddy->dims() == d_ddout->dims()) {
-      VLOG(4) << "Special case when d_ddx is not needed and d_ddy doesn't "
-                 "reduce";
-      framework::TensorCopy(
-          *d_ddout, ctx.GetPlace(),
-          ctx.template device_context<platform::DeviceContext>(), d_ddy);
-    } else if (d_ddx != nullptr && d_ddy != nullptr &&
-               (d_ddx->dims() == d_ddy->dims())) {
-      elementwise_add_grad<DeviceContext, T>(ctx, ddx, ddy, out, d_ddout, d_ddx,
-                                             d_ddy);
-    } else {
-      default_elementwise_add_grad<DeviceContext, T>(ctx, ddx, ddy, out,
-                                                     d_ddout, d_ddx, d_ddy);
-    }
+
+    const auto &dev_ctx = ctx.template device_context<DeviceContext>();
+    int axis = ctx.Attr<int>("axis");
+    pten::AddTripleGradKernel<T>(
+        static_cast<const typename framework::ConvertToPtenContext<
+            DeviceContext>::TYPE &>(dev_ctx),
+        *ddx, *ddy, *d_ddout, axis, d_ddx, d_ddy);
   }
 };
 
diff --git a/paddle/fluid/operators/elementwise/elementwise_op.h b/paddle/fluid/operators/elementwise/elementwise_op.h
index aaf33ca674488..64beac0804d0f 100644
--- a/paddle/fluid/operators/elementwise/elementwise_op.h
+++ b/paddle/fluid/operators/elementwise/elementwise_op.h
@@ -354,6 +354,18 @@ class ElementwiseOpGrad : public framework::OperatorWithKernel {
                                      tensor.place(), tensor.layout());
     }
   }
+  framework::KernelSignature GetExpectedPtenKernelArgs(
+      const framework::ExecutionContext &ctx) const override {
+    if (Type() == "elementwise_add_grad") {
+      if (ctx.InputVar("X")->IsType<framework::LoDTensor>()) {
+        return framework::KernelSignature(
+            "add_grad", {"X", "Y", framework::GradVarName("Out")}, {"axis"},
+            {framework::GradVarName("X"), framework::GradVarName("Y")});
+      }
+    }
+
+    return framework::KernelSignature("None", {"X"}, {}, {"Out"});
+  }
 };
 
 class ElementwiseOpDoubleGrad : public framework::OperatorWithKernel {
@@ -522,11 +534,9 @@ class ElemwiseGradKernel : public framework::OpKernel<T> {
   void Compute(const framework::ExecutionContext &context) const override {
     auto *dx =
         context.Output<framework::LoDTensor>(framework::GradVarName("X"));
-    if (dx != nullptr) {
-      auto &dout =
-          *context.Input<framework::LoDTensor>(framework::GradVarName("Out"));
-      dx->set_lod(dout.lod());
-    }
+    auto &dout =
+        *context.Input<framework::LoDTensor>(framework::GradVarName("Out"));
+    pten::funcs::ElementwiseGradPreProcess(dout, dx);
   }
 };
 
diff --git a/paddle/fluid/operators/elementwise/elementwise_op_function.h b/paddle/fluid/operators/elementwise/elementwise_op_function.h
index f0641dd97d87f..5f4212e556f24 100644
--- a/paddle/fluid/operators/elementwise/elementwise_op_function.h
+++ b/paddle/fluid/operators/elementwise/elementwise_op_function.h
@@ -158,32 +158,6 @@ void ElemwiseGradCompute(const framework::ExecutionContext &ctx,
   }
 }
 
-// NOTE(dzhwinter): Only used in elementwise_add, elementwise_sub.
-// explicit gradient can cut off X, Y, Out from gradient op
-// In elementwise_add, elementwise_sub, we use dout as fake X, Y, Out to reuse
-// elementwise code.
-template <typename DeviceContext, typename T, typename DX_OP, typename DY_OP>
-void ElemwiseExplicitGradCompute(const framework::ExecutionContext &ctx,
-                                 const framework::Tensor &x,
-                                 const framework::Tensor &y,
-                                 const framework::Tensor &out,
-                                 const framework::Tensor &dout, int axis,
-                                 framework::Tensor *dx, framework::Tensor *dy,
-                                 DX_OP dx_op, DY_OP dy_op) {
-  const framework::DDim &x_dim = x.dims();
-  const framework::DDim &y_dim = y.dims();
-  const auto &dev_ctx = ctx.template device_context<DeviceContext>();
-  if (x.dims() == y.dims()) {
-    pten::funcs::ElemwiseGradComputeNoBroadcast<DeviceContext, T, DX_OP, DY_OP>(
-        dev_ctx, x_dim, y_dim, dout, dout, out, dout, axis, dx, dy, dx_op,
-        dy_op);
-  } else {
-    pten::ElemwiseGradComputeWithBroadcast<T, DX_OP, DY_OP>(
-        dev_ctx, x_dim, y_dim, dout, dout, out, dout, axis, dx, dy, dx_op,
-        dy_op);
-  }
-}
-
 // It is a common implementation to compute binary calculation with the support
 // of broadcast, supporting both CPU and GPU.
 // - CPU implementation cannot support the case when x needs broadcast, thus
@@ -199,30 +173,20 @@ void ElementwiseComputeEx(const framework::ExecutionContext &ctx,
                           const framework::Tensor *x,
                           const framework::Tensor *y, int axis, Functor func,
                           framework::Tensor *z) {
+  z->mutable_data<OutType>(ctx.GetPlace());
   if (platform::is_gpu_place(ctx.GetPlace())) {
 #if defined(__NVCC__) || defined(__HIPCC__)
-    std::vector<const framework::Tensor *> ins = {x, y};
-    std::vector<framework::Tensor *> outs = {z};
-    z->mutable_data<OutType>(ctx.GetPlace());
-
     const auto &dev_ctx =
         ctx.template device_context<platform::CUDADeviceContext>();
-    paddle::operators::LaunchElementwiseCudaKernel<ElementwiseType::kBinary, T,
-                                                   OutType>(dev_ctx, ins, &outs,
-                                                            axis, func);
+    pten::ElementwiseCompute<Functor, T, OutType>(dev_ctx, *x, *y, axis, func,
+                                                  z);
+
 #endif
     return;
   }
-
-  z->mutable_data<OutType>(ctx.GetPlace());
-  auto pt_x = paddle::experimental::MakePtenDenseTensor(*x);
-  auto pt_y = paddle::experimental::MakePtenDenseTensor(*y);
-  auto pt_z = paddle::experimental::MakePtenDenseTensor(*z);
-
   const auto &dev_ctx =
       ctx.template device_context<platform::CPUDeviceContext>();
-  pten::ElementwiseCompute<Functor, T, OutType>(
-      dev_ctx, *pt_x.get(), *pt_y.get(), axis, func, pt_z.get());
+  pten::ElementwiseCompute<Functor, T, OutType>(dev_ctx, *x, *y, axis, func, z);
 }
 
 // FusedElemwiseAndAct
@@ -1207,36 +1171,16 @@ template <typename DeviceContext, typename T>
 static inline void GetDoubleGradSafeTensor(
     const framework::ExecutionContext &ctx, const framework::Tensor *x,
     const framework::Tensor *ddx, framework::Tensor *ddx_safe) {
-  if (ddx) {
-    *ddx_safe = *ddx;
-  } else {
-    auto &dev_ctx = ctx.template device_context<DeviceContext>();
-    *ddx_safe = ctx.AllocateTmpTensor<T, DeviceContext>(x->dims(), dev_ctx);
-    math::SetConstant<DeviceContext, T> set_zero;
-    set_zero(ctx.template device_context<DeviceContext>(), ddx_safe,
-             static_cast<T>(0));
-  }
+  const auto &dev_ctx = ctx.template device_context<DeviceContext>();
+  pten::funcs::GetDoubleGradSafeTensor<DeviceContext, T>(dev_ctx, *x, ddx,
+                                                         ddx_safe);
 }
 
 // for broadcast backwards
 static inline std::vector<int> GetReduceDim(const framework::DDim &in,
                                             const framework::DDim &out,
                                             int axis) {
-  axis =
-      (axis == -1 ? std::abs(static_cast<int>(out.size() - in.size())) : axis);
-  std::vector<int> dims;
-  for (int i = 0; i < axis; ++i) {
-    dims.push_back(i);
-  }
-  for (int i = 0; i < in.size(); ++i) {
-    if (out[i + axis] != in[i]) {
-      dims.push_back(i + axis);
-    }
-  }
-  for (int i = axis + in.size(); i < out.size(); ++i) {
-    dims.push_back(i);
-  }
-  return dims;
+  return pten::funcs::GetReduceDim(in, out, axis);
 }
 
 #if defined(__NVCC__) || defined(__HIPCC__)
diff --git a/paddle/fluid/operators/elementwise/elementwise_sub_op.h b/paddle/fluid/operators/elementwise/elementwise_sub_op.h
index 7d1749f20abf2..8fc6038ab6581 100644
--- a/paddle/fluid/operators/elementwise/elementwise_sub_op.h
+++ b/paddle/fluid/operators/elementwise/elementwise_sub_op.h
@@ -78,9 +78,11 @@ default_elementwise_sub_grad(const framework::ExecutionContext& ctx,
                              const framework::Tensor* dout,
                              framework::Tensor* dx, framework::Tensor* dy) {
   int axis = ctx.Attr<int>("axis");
-
-  ElemwiseExplicitGradCompute<DeviceContext, T, SubGradDX<T>, SubGradDY<T>>(
-      ctx, *x, *y, *out, *dout, axis, dx, dy, SubGradDX<T>(), SubGradDY<T>());
+  const auto& dev_ctx =
+      ctx.template device_context<platform::CPUDeviceContext>();
+  pten::ElemwiseExplicitGradCompute<T, SubGradDX<T>, SubGradDY<T>>(
+      dev_ctx, *x, *y, *out, *dout, axis, dx, dy, SubGradDX<T>(),
+      SubGradDY<T>());
 }
 
 template <typename DeviceContext, typename T>
diff --git a/paddle/fluid/operators/math/math_function.cc b/paddle/fluid/operators/math/math_function.cc
index f2d1e79f03524..2672d02db008e 100644
--- a/paddle/fluid/operators/math/math_function.cc
+++ b/paddle/fluid/operators/math/math_function.cc
@@ -29,6 +29,7 @@ limitations under the License. */
 #include "paddle/fluid/operators/math/math_function_impl.h"
 #include "paddle/fluid/platform/bfloat16.h"
 #include "paddle/fluid/platform/float16.h"
+#include "paddle/pten/backends/cpu/cpu_context.h"
 #include "paddle/pten/kernels/funcs/eigen/common.h"
 #include "unsupported/Eigen/CXX11/Tensor"
 
@@ -52,6 +53,18 @@ template struct SetConstant<platform::CPUDeviceContext,
 template struct SetConstant<platform::CPUDeviceContext,
                             platform::complex<double>>;
 
+template struct SetConstant<pten::CPUContext, platform::float16>;
+template struct SetConstant<pten::CPUContext, platform::bfloat16>;
+template struct SetConstant<pten::CPUContext, float>;
+template struct SetConstant<pten::CPUContext, double>;
+template struct SetConstant<pten::CPUContext, int16_t>;
+template struct SetConstant<pten::CPUContext, int>;
+template struct SetConstant<pten::CPUContext, int64_t>;
+template struct SetConstant<pten::CPUContext, bool>;
+template struct SetConstant<pten::CPUContext, uint8_t>;
+template struct SetConstant<pten::CPUContext, platform::complex<float>>;
+template struct SetConstant<pten::CPUContext, platform::complex<double>>;
+
 #ifdef PADDLE_WITH_XPU
 template struct SetConstant<platform::XPUDeviceContext, platform::float16>;
 template struct SetConstant<platform::XPUDeviceContext, platform::bfloat16>;
diff --git a/paddle/pten/core/kernel_alias_name.h b/paddle/pten/core/kernel_alias_name.h
index 8e089970f9139..e473861dcf09c 100644
--- a/paddle/pten/core/kernel_alias_name.h
+++ b/paddle/pten/core/kernel_alias_name.h
@@ -21,6 +21,7 @@ namespace pten {
 // the key is sorted by key's alphabet
 const std::unordered_map<std::string, std::string> kernel_alias_name_map = {
     {"elementwise_add", "add_raw"},
+    {"elementwise_add_grad", "add_grad"},
     {"elementwise_div", "divide_raw"},
     {"elementwise_mul", "muliply_raw"},
     {"elementwise_sub", "subtract_raw"},
diff --git a/paddle/pten/kernels/CMakeLists.txt b/paddle/pten/kernels/CMakeLists.txt
index 76e112808892d..fa54168fc3659 100644
--- a/paddle/pten/kernels/CMakeLists.txt
+++ b/paddle/pten/kernels/CMakeLists.txt
@@ -25,7 +25,7 @@ endif()
 set_property(GLOBAL PROPERTY PTEN_KERNELS "")
 
 set(COMMON_KERNEL_DEPS dense_tensor kernel_context kernel_factory arg_map_context convert_utils lod_utils)
-set(COMMON_KERNEL_DEPS ${COMMON_KERNEL_DEPS} eigen_function blas)
+set(COMMON_KERNEL_DEPS ${COMMON_KERNEL_DEPS} eigen_function blas math_function)
 # remove this dep after removing fluid deps on tensor creation
 set(COMMON_KERNEL_DEPS ${COMMON_KERNEL_DEPS} pten_api_utils)
 set(COMMON_KERNEL_DEPS ${COMMON_KERNEL_DEPS} infermeta)
diff --git a/paddle/pten/kernels/cpu/elementwise.h b/paddle/pten/kernels/cpu/elementwise.h
index e4f426d3f8eb4..bf21e3a233726 100644
--- a/paddle/pten/kernels/cpu/elementwise.h
+++ b/paddle/pten/kernels/cpu/elementwise.h
@@ -694,4 +694,94 @@ void ElemwiseGradComputeWithBroadcast(const CPUContext& ctx,
   }
 }
 
+// NOTE(dzhwinter): Only used in elementwise_add, elementwise_sub.
+// explicit gradient can cut off X, Y, Out from gradient op
+// In elementwise_add, elementwise_sub, we use dout as fake X, Y, Out to reuse
+// elementwise code.
+template <typename T, typename DX_OP, typename DY_OP>
+void ElemwiseExplicitGradCompute(const CPUContext& dev_ctx,
+                                 const DenseTensor& x,
+                                 const DenseTensor& y,
+                                 const DenseTensor& out,
+                                 const DenseTensor& dout,
+                                 int axis,
+                                 DenseTensor* dx,
+                                 DenseTensor* dy,
+                                 DX_OP dx_op,
+                                 DY_OP dy_op) {
+  const DDim& x_dim = x.dims();
+  const DDim& y_dim = y.dims();
+  if (x.dims() == y.dims()) {
+    pten::funcs::ElemwiseGradComputeNoBroadcast<CPUContext, T, DX_OP, DY_OP>(
+        dev_ctx,
+        x_dim,
+        y_dim,
+        dout,
+        dout,
+        out,
+        dout,
+        axis,
+        dx,
+        dy,
+        dx_op,
+        dy_op);
+  } else {
+    ElemwiseGradComputeWithBroadcast<T, DX_OP, DY_OP>(dev_ctx,
+                                                      x_dim,
+                                                      y_dim,
+                                                      dout,
+                                                      dout,
+                                                      out,
+                                                      dout,
+                                                      axis,
+                                                      dx,
+                                                      dy,
+                                                      dx_op,
+                                                      dy_op);
+  }
+}
+
+// Add Grad
+
+template <typename T>
+struct IdentityGrad {
+  HOSTDEVICE T operator()(T x, T y, T out, T dout) const { return dout; }
+};
+
+template <typename T>
+typename std::enable_if<std::is_floating_point<T>::value>::type
+elementwise_add_grad(const CPUContext& ctx,
+                     const DenseTensor& x,
+                     const DenseTensor& y,
+                     const DenseTensor& out,
+                     const DenseTensor& dout,
+                     DenseTensor* dx,
+                     DenseTensor* dy,
+                     int axis = -1) {
+  auto blas = paddle::operators::math::GetBlas<CPUContext, T>(ctx);
+  if (dx) {
+    blas.VCOPY(
+        dout.numel(), dout.data<T>(), dx->mutable_data<T>(ctx.GetPlace()));
+  }
+
+  if (dy) {
+    blas.VCOPY(
+        dout.numel(), dout.data<T>(), dy->mutable_data<T>(ctx.GetPlace()));
+  }
+}
+
+template <typename T>
+typename std::enable_if<!std::is_floating_point<T>::value>::type
+elementwise_add_grad(const CPUContext& ctx,
+                     const DenseTensor& x,
+                     const DenseTensor& y,
+                     const DenseTensor& out,
+                     const DenseTensor& dout,
+                     DenseTensor* dx,
+                     DenseTensor* dy,
+                     int axis = -1) {
+  ElemwiseExplicitGradCompute<T, IdentityGrad<T>, IdentityGrad<T>>(
+      ctx, x, y, out, dout, axis, dx, dy, IdentityGrad<T>(), IdentityGrad<T>());
+}
+
 }  // namespace pten
diff --git a/paddle/pten/kernels/cpu/elementwise_grad_kernel.cc b/paddle/pten/kernels/cpu/elementwise_grad_kernel.cc
new file mode 100644
index 0000000000000..4a940c2be15c0
--- /dev/null
+++ b/paddle/pten/kernels/cpu/elementwise_grad_kernel.cc
@@ -0,0 +1,128 @@
+//   Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "paddle/pten/kernels/elementwise_grad_kernel.h"
+
+#include "paddle/pten/backends/cpu/cpu_context.h"
+#include "paddle/pten/core/kernel_registry.h"
+#include "paddle/pten/kernels/copy_kernel.h"
+#include "paddle/pten/kernels/cpu/elementwise.h"
+#include "paddle/pten/kernels/funcs/elementwise_functor.h"
+#include "paddle/pten/kernels/impl/elementwise_grad_kernel_impl.h"
+
+namespace pten {
+
+template <typename T>
+void AddGradFunc(const CPUContext& dev_ctx,
+                 const DenseTensor& x,
+                 const DenseTensor& y,
+                 const DenseTensor& out,
+                 const DenseTensor& dout,
+                 DenseTensor* dx,
+                 DenseTensor* dy,
+                 int axis = -1) {
+  if (dx != nullptr && dy != nullptr && (dx->dims() == dy->dims())) {
+    elementwise_add_grad<T>(dev_ctx, x, y, out, dout, dx, dy);
+  } else {
+    ElemwiseExplicitGradCompute<T, IdentityGrad<T>, IdentityGrad<T>>(
+        dev_ctx,
+        x,
+        y,
+        out,
+        dout,
+        axis,
+        dx,
+        dy,
+        IdentityGrad<T>(),
+        IdentityGrad<T>());
+  }
+}
+
+template <typename T, typename Context>
+void AddGradKernel(const Context& dev_ctx,
+                   const DenseTensor& x,
+                   const DenseTensor& y,
+                   const DenseTensor& dout,
+                   int axis,
+                   DenseTensor* dx,
+                   DenseTensor* dy) {
+  pten::AddGradImpl<T>(dev_ctx, x, y, dout, axis, dx, dy, AddGradFunc<T>);
+}
+
+template <typename T, typename Context>
+void AddDoubleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& y,
+                         paddle::optional<const DenseTensor&> ddx,
+                         paddle::optional<const DenseTensor&> ddy,
+                         const DenseTensor& dout,
+                         int axis,
+                         DenseTensor* ddout) {
+  pten::AddDoubleGradImpl<T>(
+      dev_ctx,
+      y,
+      ddx,
+      ddy,
+      dout,
+      axis,
+      ddout,
+      ElementwiseCompute<funcs::AddFunctor<T>, T>,
+      ElementwiseCompute<funcs::InverseAddFunctor<T>, T>);
+}
+
+template <typename T, typename Context>
+void AddTripleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& ddx,
+                         const DenseTensor& ddy,
+                         const DenseTensor& d_ddout,
+                         int axis,
+                         DenseTensor* d_ddx,
+                         DenseTensor* d_ddy) {
+  pten::AddGradImpl<T>(
+      dev_ctx, ddx, ddy, d_ddout, axis, d_ddx, d_ddy, AddGradFunc<T>);
+}
+
+}  // namespace pten
+
+PT_REGISTER_KERNEL(add_grad,
+                   CPU,
+                   ALL_LAYOUT,
+                   pten::AddGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
+
+PT_REGISTER_KERNEL(add_double_grad,
+                   CPU,
+                   ALL_LAYOUT,
+                   pten::AddDoubleGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
+
+PT_REGISTER_KERNEL(add_triple_grad,
+                   CPU,
+                   ALL_LAYOUT,
+                   pten::AddTripleGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
diff --git a/paddle/pten/kernels/elementwise_grad_kernel.h b/paddle/pten/kernels/elementwise_grad_kernel.h
new file mode 100644
index 0000000000000..067eebc9e15b9
--- /dev/null
+++ b/paddle/pten/kernels/elementwise_grad_kernel.h
@@ -0,0 +1,49 @@
+/* Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License. */
+
+#pragma once
+
+#include "paddle/pten/core/dense_tensor.h"
+#include "paddle/utils/optional.h"
+
+namespace pten {
+
+template <typename T, typename Context>
+void AddGradKernel(const Context& dev_ctx,
+                   const DenseTensor& x,
+                   const DenseTensor& y,
+                   const DenseTensor& dout,
+                   int axis,
+                   DenseTensor* dx,
+                   DenseTensor* dy);
+
+template <typename T, typename Context>
+void AddDoubleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& y,
+                         paddle::optional<const DenseTensor&> ddx,
+                         paddle::optional<const DenseTensor&> ddy,
+                         const DenseTensor& dout,
+                         int axis,
+                         DenseTensor* ddout);
+
+template <typename T, typename Context>
+void AddTripleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& ddx,
+                         const DenseTensor& ddy,
+                         const DenseTensor& d_ddout,
+                         int axis,
+                         DenseTensor* d_ddx,
+                         DenseTensor* d_ddy);
+
+}  // namespace pten
diff --git a/paddle/pten/kernels/funcs/elementwise_base.h b/paddle/pten/kernels/funcs/elementwise_base.h
index 47924c4e2ae18..4be3293f7cb29 100644
--- a/paddle/pten/kernels/funcs/elementwise_base.h
+++ b/paddle/pten/kernels/funcs/elementwise_base.h
@@ -14,10 +14,12 @@ limitations under the License. */
 
 #pragma once
 
+#include "paddle/fluid/operators/math/math_function.h"
 #include "paddle/fluid/platform/for_range.h"
 #include "paddle/fluid/platform/transform.h"
 #include "paddle/pten/backends/all_context.h"
 #include "paddle/pten/core/dense_tensor.h"
+#include "paddle/pten/kernels/empty_kernel.h"
 
 #if defined(__NVCC__) || defined(__HIPCC__)
 #include "paddle/fluid/operators/kernel_primitives/kernel_primitives.h"
@@ -360,6 +362,43 @@ inline void get_mid_dims(const DDim &x_dims,
   }
 }
 
+// for broadcast backwards
+static inline std::vector<int> GetReduceDim(const paddle::framework::DDim &in,
+                                            const paddle::framework::DDim &out,
+                                            int axis) {
+  axis =
+      (axis == -1 ? std::abs(static_cast<int>(out.size() - in.size())) : axis);
+  std::vector<int> dims;
+  for (int i = 0; i < axis; ++i) {
+    dims.push_back(i);
+  }
+  for (int i = 0; i < in.size(); ++i) {
+    if (out[i + axis] != in[i]) {
+      dims.push_back(i + axis);
+    }
+  }
+  for (int i = axis + in.size(); i < out.size(); ++i) {
+    dims.push_back(i);
+  }
+  return dims;
+}
+
+template <typename DeviceContext, typename T>
+static inline void GetDoubleGradSafeTensor(const DeviceContext &dev_ctx,
+                                           const DenseTensor &x,
+                                           const DenseTensor *ddx,
+                                           DenseTensor *ddx_safe) {
+  if (ddx) {
+    *ddx_safe = *ddx;
+  } else {
+    auto meta = pten::DenseTensorMeta(x.dtype(), x.dims(), x.layout());
+    *ddx_safe = pten::Empty<T, DeviceContext>(dev_ctx, std::move(meta));
+    ddx_safe->mutable_data(dev_ctx.GetPlace());
+    paddle::operators::math::SetConstant<DeviceContext, T> set_zero;
+    set_zero(dev_ctx, ddx_safe, static_cast<T>(0));
+  }
+}
+
 template <typename DeviceContext,
           typename T,
           typename DX_OP,
@@ -390,6 +429,13 @@ void ElemwiseGradComputeNoBroadcast(const DeviceContext &dev_ctx,
       dy == nullptr ? nullptr : dy->mutable_data<T>(dev_ctx.GetPlace())});
 }
 
+inline void ElementwiseGradPreProcess(const DenseTensor &dout,
+                                      DenseTensor *dx) {
+  if (dx != nullptr) {
+    dx->set_lod(dout.lod());
+  }
+}
+
 #if defined(__NVCC__) || defined(__HIPCC__)
 
 template <typename InT, typename OutT>
diff --git a/paddle/pten/kernels/gpu/elementwise.h b/paddle/pten/kernels/gpu/elementwise.h
index def54e24840e7..89b51b0286f1c 100644
--- a/paddle/pten/kernels/gpu/elementwise.h
+++ b/paddle/pten/kernels/gpu/elementwise.h
@@ -14,9 +14,11 @@ limitations under the License. */
 
 #pragma once
 
+#include "paddle/pten/kernels/copy_kernel.h"
 #include "paddle/pten/kernels/funcs/common_shape.h"
 #include "paddle/pten/kernels/funcs/cuda_kernel_config.h"
 #include "paddle/pten/kernels/funcs/elementwise_base.h"
+#include "paddle/pten/kernels/gpu/reduce.h"
 
 #ifdef __HIPCC__
 constexpr int ELEMWISE_MAX_BLOCK_DIM = 256;
@@ -578,6 +580,20 @@ void LaunchElementwiseCudaKernel(const KPDevice &ctx,
   }
 }
 
+template <typename Functor, typename T, typename OutType = T>
+void ElementwiseCompute(const GPUContext &dev_ctx,
+                        const DenseTensor &x,
+                        const DenseTensor &y,
+                        int axis,
+                        Functor func,
+                        DenseTensor *z) {
+  std::vector<const DenseTensor *> ins = {&x, &y};
+  std::vector<DenseTensor *> outs = {z};
+  z->mutable_data<OutType>(dev_ctx.GetPlace());
+  pten::LaunchElementwiseCudaKernel<ElementwiseType::kBinary, T, OutType>(
+      dev_ctx, ins, &outs, axis, func);
+}
+
 // BACKWARD CODE
 
 // Suppose only has contiguous dims
@@ -1938,4 +1954,130 @@ void ElemwiseGradComputeWithBroadcast(const GPUContext &ctx,
   }
 }
 
+template <typename T>
+static __global__ void SimpleElemwiseAddGradCUDAKernel(
+    const T *__restrict__ dout, int size, int vec_size, T *dx, T *dy) {
+  int tid = blockIdx.x * blockDim.x + threadIdx.x;
+  int stride = gridDim.x * blockDim.x;
+  int loop = size / vec_size;
+  int remainder = size % vec_size;
+  const float4 *dout_vec = reinterpret_cast<const float4 *>(dout);
+  float4 *dx_vec = reinterpret_cast<float4 *>(dx);
+  float4 *dy_vec = reinterpret_cast<float4 *>(dy);
+  float4 tmp_loop;
+
+  for (int i = tid; i < loop; i += stride) {
+    tmp_loop = dout_vec[i];
+    dx_vec[i] = tmp_loop;
+    dy_vec[i] = tmp_loop;
+  }
+
+  if (tid == loop && remainder != 0) {
+    T tmp_rem;
+    while (remainder) {
+      int idx = size - remainder;
+      remainder--;
+      tmp_rem = dout[idx];
+      dx[idx] = tmp_rem;
+      dy[idx] = tmp_rem;
+    }
+  }
+}
+
+template <typename T>
+void default_elementwise_add_grad(const GPUContext &ctx,
+                                  const DenseTensor &x,
+                                  const DenseTensor &y,
+                                  const DenseTensor &out,
+                                  const DenseTensor &dout,
+                                  DenseTensor *dx,
+                                  DenseTensor *dy,
+                                  int axis = -1) {
+  auto *dout_data = dout.data<T>();
+
+  // dx
+  if (dx != nullptr) {
+    auto *dx_data = dx->mutable_data<T>(ctx.GetPlace());
+    if (dx->dims() == dout.dims()) {
+      if (dx_data != dout_data) {
+        pten::Copy(ctx, dout, false, dx);
+      }
+    } else {
+      // For inplace strategy, dx will be stored in addr of dout, which makes
+      // the result of dy wrong.
+      if (dx->IsSharedBufferWith(dout)) {
+        dx->clear();
+        dx->mutable_data<T>(x.dims(), ctx.GetPlace());
+      }
+      std::vector<int> reduce_dims =
+          funcs::GetReduceDim(x.dims(), out.dims(), axis);
+      gpuStream_t stream = ctx.stream();
+      kernels::TensorReduceFunctorImpl<T,
+                                       T,
+                                       kps::AddFunctor,
+                                       kps::IdentityFunctor<T>>(
+          dout, dx, kps::IdentityFunctor<T>(), reduce_dims, stream);
+    }
+  }
+  // dy
+  if (dy != nullptr) {
+    auto *dy_data = dy->mutable_data<T>(ctx.GetPlace());
+    if (dy->dims() == dout.dims()) {
+      if (dy_data != dout_data) {
+        pten::Copy(ctx, dout, false, dy);
+      }
+    } else {
+      std::vector<int> reduce_dims =
+          funcs::GetReduceDim(y.dims(), out.dims(), axis);
+      gpuStream_t stream = ctx.stream();
+      kernels::TensorReduceFunctorImpl<T,
+                                       T,
+                                       kps::AddFunctor,
+                                       kps::IdentityFunctor<T>>(
+          dout, dy, kps::IdentityFunctor<T>(), reduce_dims, stream);
+    }
+  }
+}
+
+template <typename T>
+void elementwise_add_grad(const GPUContext &ctx,
+                          const DenseTensor &x,
+                          const DenseTensor &y,
+                          const DenseTensor &out,
+                          const DenseTensor &dout,
+                          DenseTensor *dx,
+                          DenseTensor *dy) {
+  auto *dx_data = dx->mutable_data<T>(ctx.GetPlace());
+  auto *dy_data = dy->mutable_data<T>(ctx.GetPlace());
+  auto *dout_data = dout.data<T>();
+  if (dx_data == dout_data && dy_data != dout_data) {
+    VLOG(4) << "Special case when dx_data is the same as dout_data, "
+               "only need copy dout to dy";
+    pten::Copy(ctx, dout, false, dy);
+  } else if (dx_data != dout_data && dy_data == dout_data) {
+    VLOG(4) << "Special case when dy_data is the same as dout_data, "
+               "only need copy dout to dx";
+    pten::Copy(ctx, dout, false, dx);
+  } else if (dx_data != dout_data && dy_data != dout_data) {
+    auto size = x.numel();
+    int vec_size = max(static_cast<int>(sizeof(float4) / sizeof(T)), 1);
+    dim3 block_size = dim3(PREDEFINED_BLOCK_SIZE, 1);
+    dim3 grid_size =
+        dim3(((size + vec_size - 1) / vec_size + PREDEFINED_BLOCK_SIZE - 1) /
+                 PREDEFINED_BLOCK_SIZE,
+             1);
+    SimpleElemwiseAddGradCUDAKernel<
+        T><<<grid_size, block_size, 0, ctx.stream()>>>(
+        dout.data<T>(),
+        size,
+        vec_size,
+        dx->mutable_data<T>(ctx.GetPlace()),
+        dy->mutable_data<T>(ctx.GetPlace()));
+  } else {
+    VLOG(4) << "Special case when dy_data is the same as dout_data, "
+               "and dx_data is the same as dout_data, do not need "
+               "any operator";
+  }
+}
+
 }  // namespace pten
diff --git a/paddle/pten/kernels/gpu/elementwise_grad_kernel.cu b/paddle/pten/kernels/gpu/elementwise_grad_kernel.cu
new file mode 100644
index 0000000000000..76af94f42fde2
--- /dev/null
+++ b/paddle/pten/kernels/gpu/elementwise_grad_kernel.cu
@@ -0,0 +1,121 @@
+//   Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "paddle/pten/kernels/elementwise_grad_kernel.h"
+
+#include "paddle/pten/backends/gpu/gpu_context.h"
+#include "paddle/pten/core/kernel_registry.h"
+#include "paddle/pten/kernels/copy_kernel.h"
+#include "paddle/pten/kernels/funcs/elementwise_functor.h"
+#include "paddle/pten/kernels/gpu/elementwise.h"
+#include "paddle/pten/kernels/impl/elementwise_grad_kernel_impl.h"
+
+namespace pten {
+
+template <typename T>
+void AddGradFunc(const GPUContext& dev_ctx,
+                 const DenseTensor& x,
+                 const DenseTensor& y,
+                 const DenseTensor& out,
+                 const DenseTensor& dout,
+                 DenseTensor* dx,
+                 DenseTensor* dy,
+                 int axis = -1) {
+  if (dx != nullptr && dy != nullptr && (dx->dims() == dy->dims())) {
+    elementwise_add_grad<T>(dev_ctx, x, y, out, dout, dx, dy);
+  } else {
+    default_elementwise_add_grad<T>(dev_ctx, x, y, out, dout, dx, dy, axis);
+  }
+}
+
+template <typename T, typename Context>
+void AddGradKernel(const Context& dev_ctx,
+                   const DenseTensor& x,
+                   const DenseTensor& y,
+                   const DenseTensor& dout,
+                   int axis,
+                   DenseTensor* dx,
+                   DenseTensor* dy) {
+  pten::AddGradImpl<T>(dev_ctx, x, y, dout, axis, dx, dy, AddGradFunc<T>);
+}
+
+template <typename T, typename Context>
+void AddDoubleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& y,
+                         paddle::optional<const DenseTensor&> ddx,
+                         paddle::optional<const DenseTensor&> ddy,
+                         const DenseTensor& dout,
+                         int axis,
+                         DenseTensor* ddout) {
+  pten::AddDoubleGradImpl<T>(
+      dev_ctx,
+      y,
+      ddx,
+      ddy,
+      dout,
+      axis,
+      ddout,
+      ElementwiseCompute<funcs::AddFunctor<T>, T>,
+      ElementwiseCompute<funcs::InverseAddFunctor<T>, T>);
+}
+
+template <typename T, typename Context>
+void AddTripleGradKernel(const Context& dev_ctx,
+                         const DenseTensor& ddx,
+                         const DenseTensor& ddy,
+                         const DenseTensor& d_ddout,
+                         int axis,
+                         DenseTensor* d_ddx,
+                         DenseTensor* d_ddy) {
+  pten::AddGradImpl<T>(
+      dev_ctx, ddx, ddy, d_ddout, axis, d_ddx, d_ddy, AddGradFunc<T>);
+}
+
+}  // namespace pten
+
+PT_REGISTER_KERNEL(add_grad,
+                   GPU,
+                   ALL_LAYOUT,
+                   pten::AddGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::float16,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
+
+PT_REGISTER_KERNEL(add_double_grad,
+                   GPU,
+                   ALL_LAYOUT,
+                   pten::AddDoubleGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::float16,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
+
+PT_REGISTER_KERNEL(add_triple_grad,
+                   GPU,
+                   ALL_LAYOUT,
+                   pten::AddTripleGradKernel,
+                   float,
+                   double,
+                   int,
+                   int64_t,
+                   paddle::platform::float16,
+                   paddle::platform::complex<float>,
+                   paddle::platform::complex<double>) {}
diff --git a/paddle/pten/kernels/impl/elementwise_grad_kernel_impl.h b/paddle/pten/kernels/impl/elementwise_grad_kernel_impl.h
new file mode 100644
index 0000000000000..a74c9c0b6be10
--- /dev/null
+++ b/paddle/pten/kernels/impl/elementwise_grad_kernel_impl.h
@@ -0,0 +1,88 @@
+/* Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License. */
+
+#pragma once
+
+#include "paddle/pten/core/dense_tensor.h"
+#include "paddle/pten/kernels/funcs/elementwise_base.h"
+#include "paddle/pten/kernels/funcs/elementwise_functor.h"
+
+namespace pten {
+
+template <typename T, typename Context, typename GradFunc>
+void AddGradImpl(const Context& dev_ctx,
+                 const DenseTensor& x,
+                 const DenseTensor& y,
+                 const DenseTensor& out_grad,
+                 int axis,
+                 DenseTensor* x_grad,
+                 DenseTensor* y_grad,
+                 GradFunc grad_func) {
+  pten::funcs::ElementwiseGradPreProcess(out_grad, x_grad);
+  auto* out = &out_grad;
+  // Special case when y_grad is not needed and x_grad doesn't reduce
+  if (x_grad != nullptr && y_grad == nullptr &&
+      x_grad->dims() == out_grad.dims()) {
+    VLOG(4) << "Special case when y_grad is not needed and x_grad doesn't "
+               "reduce";
+    pten::Copy(dev_ctx, out_grad, false, x_grad);
+  } else if (x_grad == nullptr && y_grad != nullptr &&
+             y_grad->dims() == out_grad.dims()) {
+    VLOG(4) << "Special case when x_grad is not needed and y_grad doesn't "
+               "reduce";
+    pten::Copy(dev_ctx, out_grad, false, y_grad);
+  } else {
+    grad_func(dev_ctx, x, y, *out, out_grad, x_grad, y_grad, axis);
+  }
+}
+
+template <typename T,
+          typename Context,
+          typename GradFunc,
+          typename GradInverseFunc>
+void AddDoubleGradImpl(const Context& dev_ctx,
+                       const DenseTensor& y,
+                       const paddle::optional<const DenseTensor&>& ddx,
+                       const paddle::optional<const DenseTensor&>& ddy,
+                       const DenseTensor& dout,
+                       int axis,
+                       DenseTensor* ddout,
+                       GradFunc grad_func,
+                       GradInverseFunc grad_inverse_func) {
+  // ddOut = ddx + ddy
+  if (ddout) {
+    DenseTensor ddx_safe, ddy_safe;
+    funcs::GetDoubleGradSafeTensor<Context, T>(
+        dev_ctx, dout, ddx.get_ptr(), &ddx_safe);
+    funcs::GetDoubleGradSafeTensor<Context, T>(
+        dev_ctx, y, ddy.get_ptr(), &ddy_safe);
+
+    ddout->mutable_data<T>(dev_ctx.GetPlace());
+    auto ddx_dims = ddx_safe.dims();
+    auto ddy_dims = ddy_safe.dims();
+    if (ddx_dims.size() >= ddy_dims.size()) {
+      grad_func(
+          dev_ctx, ddx_safe, ddy_safe, axis, funcs::AddFunctor<T>(), ddout);
+    } else {
+      grad_inverse_func(dev_ctx,
+                        ddx_safe,
+                        ddy_safe,
+                        axis,
+                        funcs::InverseAddFunctor<T>(),
+                        ddout);
+    }
+  }
+}
+
+}  // namespace pten