diff --git a/paddle/fluid/ir/dialect/op_generator/vjp_interface_gen_op_list.py b/paddle/fluid/ir/dialect/op_generator/vjp_interface_gen_op_list.py
index 3201651e4696c..6d788eb85a5a6 100644
--- a/paddle/fluid/ir/dialect/op_generator/vjp_interface_gen_op_list.py
+++ b/paddle/fluid/ir/dialect/op_generator/vjp_interface_gen_op_list.py
@@ -21,4 +21,4 @@
 # TODO(wanghao107)
 # remove this file and support Vjp methods
 # code gen.
-vjp_interface_gen_op_list = ["tanh", "mean"]
+vjp_interface_gen_op_list = ["tanh", "mean", "add"]
diff --git a/paddle/fluid/ir/dialect/pd_op_vjp_manual.cc b/paddle/fluid/ir/dialect/pd_op_vjp_manual.cc
index be43ddd60491c..ee03e826b652d 100644
--- a/paddle/fluid/ir/dialect/pd_op_vjp_manual.cc
+++ b/paddle/fluid/ir/dialect/pd_op_vjp_manual.cc
@@ -98,5 +98,55 @@ std::vector<std::vector<ir::OpResult>> MeanOp::Vjp(
   }
   return res;
 }
+
+std::vector<std::vector<ir::OpResult>> AddOp::Vjp(
+    ir::Operation* op,
+    const std::vector<std::vector<ir::OpResult>>& out_grads,
+    const std::vector<std::vector<bool>>& stop_gradients) {
+  AddOp op_obj = op->dyn_cast<AddOp>();
+  Tensor x(std::make_shared<primitive::experimental::DescTensor>(op_obj.x()));
+  Tensor y(std::make_shared<primitive::experimental::DescTensor>(op_obj.y()));
+  Tensor out_grad(
+      std::make_shared<primitive::experimental::DescTensor>(out_grads[0][0]));
+  int axis = -1;
+
+  std::vector<std::vector<Tensor>> tensor_res =
+      primitive::experimental::add_vjp(x, y, out_grad, axis, stop_gradients);
+  std::vector<std::vector<ir::OpResult>> res(2, std::vector<ir::OpResult>(1));
+  for (size_t i = 0; i < 2; ++i) {
+    if (tensor_res[i][0].defined()) {
+      res[i][0] = std::static_pointer_cast<primitive::experimental::DescTensor>(
+                      tensor_res[i][0].impl())
+                      ->getValue()
+                      .dyn_cast<ir::OpResult>();
+    }
+  }
+  return res;
+}
+
+std::vector<std::vector<ir::OpResult>> Add_Op::Vjp(
+    ir::Operation* op,
+    const std::vector<std::vector<ir::OpResult>>& out_grads,
+    const std::vector<std::vector<bool>>& stop_gradients) {
+  Add_Op op_obj = op->dyn_cast<Add_Op>();
+  Tensor x(std::make_shared<primitive::experimental::DescTensor>(op_obj.x()));
+  Tensor y(std::make_shared<primitive::experimental::DescTensor>(op_obj.y()));
+  Tensor out_grad(
+      std::make_shared<primitive::experimental::DescTensor>(out_grads[0][0]));
+  int axis = -1;
+
+  std::vector<std::vector<Tensor>> tensor_res =
+      primitive::experimental::add_vjp(x, y, out_grad, axis, stop_gradients);
+  std::vector<std::vector<ir::OpResult>> res(2, std::vector<ir::OpResult>(1));
+  for (size_t i = 0; i < 2; ++i) {
+    if (tensor_res[i][0].defined()) {
+      res[i][0] = std::static_pointer_cast<primitive::experimental::DescTensor>(
+                      tensor_res[i][0].impl())
+                      ->getValue()
+                      .dyn_cast<ir::OpResult>();
+    }
+  }
+  return res;
+}
 }  // namespace dialect
 }  // namespace paddle
diff --git a/paddle/fluid/primitive/backend/static_backend.cc b/paddle/fluid/primitive/backend/static_backend.cc
index b041d3710c25d..be3f29eeca49d 100644
--- a/paddle/fluid/primitive/backend/static_backend.cc
+++ b/paddle/fluid/primitive/backend/static_backend.cc
@@ -59,6 +59,31 @@ Tensor mean_grad<DescTensor>(const Tensor& x,
   return Tensor(std::make_shared<primitive::experimental::DescTensor>(op_res));
 }
 
+template <>
+std::tuple<Tensor, Tensor> add_grad<DescTensor>(const Tensor& x,
+                                                const Tensor& y,
+                                                const Tensor& out_grad,
+                                                int axis) {
+  ir::OpResult x_res = std::static_pointer_cast<DescTensor>(x.impl())
+                           ->getValue()
+                           .dyn_cast<ir::OpResult>();
+  ir::OpResult y_res = std::static_pointer_cast<DescTensor>(y.impl())
+                           ->getValue()
+                           .dyn_cast<ir::OpResult>();
+  ir::OpResult out_grad_res =
+      std::static_pointer_cast<DescTensor>(out_grad.impl())
+          ->getValue()
+          .dyn_cast<ir::OpResult>();
+
+  std::tuple<ir::OpResult, ir::OpResult> op_res =
+      paddle::dialect::add_grad(x_res, y_res, out_grad_res, axis);
+
+  return std::make_tuple(
+      Tensor(std::make_shared<primitive::experimental::DescTensor>(
+          std::get<0>(op_res))),
+      Tensor(std::make_shared<primitive::experimental::DescTensor>(
+          std::get<1>(op_res))));
+}
 }  // namespace experimental
 }  // namespace backend
 }  // namespace primitive
diff --git a/paddle/fluid/primitive/backend/static_backend.h b/paddle/fluid/primitive/backend/static_backend.h
index 09835bb759674..063532d8cd23a 100644
--- a/paddle/fluid/primitive/backend/static_backend.h
+++ b/paddle/fluid/primitive/backend/static_backend.h
@@ -37,6 +37,12 @@ Tensor mean_grad(const Tensor& x,
                  const IntArray& axis = {},
                  bool keepdim = false,
                  bool reduce_all = false);
+
+template <typename T>
+std::tuple<Tensor, Tensor> add_grad(const Tensor& x,
+                                    const Tensor& y,
+                                    const Tensor& out_grad,
+                                    int axis);
 }  // namespace experimental
 }  // namespace backend
 }  // namespace primitive
diff --git a/paddle/fluid/primitive/rule/vjp/vjp.cc b/paddle/fluid/primitive/rule/vjp/vjp.cc
index b5f0acf98c1d8..110a2d3389923 100644
--- a/paddle/fluid/primitive/rule/vjp/vjp.cc
+++ b/paddle/fluid/primitive/rule/vjp/vjp.cc
@@ -111,6 +111,47 @@ std::vector<std::vector<paddle::Tensor>> mean_vjp(
   return vjp_res;
 }
 
+std::vector<std::vector<paddle::Tensor>> add_vjp(
+    const Tensor& x,
+    const Tensor& y,
+    const Tensor& out_grad,
+    int axis,
+    const std::vector<std::vector<bool>>& stop_gradients) {
+  std::vector<std::vector<paddle::Tensor>> vjp_res(
+      2, std::vector<paddle::Tensor>(1));
+  // get mean_grad res.
+  std::tuple<Tensor, Tensor> op_res =
+      backend::experimental::add_grad<primitive::experimental::DescTensor>(
+          x, y, out_grad, axis);
+
+  // set op stop_gradient info
+  // TODO(wanghao107): Replace with more generic code.
+  // Support set stop_gradients for all ops.
+  ir::Operation* grad_op =
+      std::static_pointer_cast<primitive::experimental::DescTensor>(
+          std::get<0>(op_res).impl())
+          ->getValue()
+          .dyn_cast<ir::OpResult>()
+          .owner();
+  std::vector<ir::Attribute> ir_stop_gradients(2);
+  for (size_t i = 0; i < 2; i++) {
+    if (stop_gradients[i][0]) {
+      ir_stop_gradients[i] =
+          ir::BoolAttribute::get(ir::IrContext::Instance(), true);
+    } else {
+      ir_stop_gradients[i] =
+          ir::BoolAttribute::get(ir::IrContext::Instance(), false);
+    }
+  }
+  grad_op->set_attribute(
+      "stop_gradient",
+      ir::ArrayAttribute::get(ir::IrContext::Instance(), ir_stop_gradients));
+
+  // construct vjp result by op result and stop_gradients info
+  vjp_res[0][0] = !stop_gradients[0][0] ? std::get<0>(op_res) : vjp_res[0][0];
+  vjp_res[1][0] = !stop_gradients[1][0] ? std::get<1>(op_res) : vjp_res[1][0];
+  return vjp_res;
+}
 }  // namespace experimental
 }  // namespace primitive
 }  // namespace paddle
diff --git a/paddle/fluid/primitive/rule/vjp/vjp.h b/paddle/fluid/primitive/rule/vjp/vjp.h
index 48bc2affa9db4..8ef03c39c6eb6 100644
--- a/paddle/fluid/primitive/rule/vjp/vjp.h
+++ b/paddle/fluid/primitive/rule/vjp/vjp.h
@@ -46,6 +46,13 @@ std::vector<std::vector<paddle::Tensor>> mean_vjp(
     bool reduce_all,
     const std::vector<std::vector<bool>>& stop_gradients);
 
+std::vector<std::vector<paddle::Tensor>> add_vjp(
+    const Tensor& x,
+    const Tensor& y,
+    const Tensor& out_grad,
+    int axis,
+    const std::vector<std::vector<bool>>& stop_gradients);
+
 namespace details {
 // NOTE: this namespace will store
 // primitive ops grad composite rules.
diff --git a/test/cpp/prim/test_vjp.cc b/test/cpp/prim/test_vjp.cc
index 9eb865a579765..c4409e5dd2a0c 100644
--- a/test/cpp/prim/test_vjp.cc
+++ b/test/cpp/prim/test_vjp.cc
@@ -36,6 +36,7 @@ PD_DECLARE_KERNEL(tanh, CPU, ALL_LAYOUT);
 PD_DECLARE_KERNEL(mean, CPU, ALL_LAYOUT);
 PD_DECLARE_KERNEL(tanh_grad, CPU, ALL_LAYOUT);
 PD_DECLARE_KERNEL(mean_grad, CPU, ALL_LAYOUT);
+PD_DECLARE_KERNEL(add_grad, CPU, ALL_LAYOUT);
 
 namespace paddle {
 namespace framework {
@@ -204,5 +205,133 @@ TEST(VJP, MeanBackwardTest) {
   ASSERT_EQ(grad_out_tensor.data<float>()[3], 0.25);
 }
 
+TEST(VJP, AddBackwardTest) {
+  ir::IrContext* ctx = ir::IrContext::Instance();
+  ir::Program program((ctx));
+  paddle::dialect::APIBuilder::Instance().SetProgram(&program);
+
+  std::shared_ptr<ir::Builder> builder =
+      paddle::dialect::APIBuilder::Instance().GetBuilder();
+  paddle::dialect::FullOp op1 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 2.0, phi::DataType::FLOAT32, phi::CPUPlace());
+  paddle::dialect::FullOp op2 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 2.0, phi::DataType::FLOAT32, phi::CPUPlace());
+  paddle::dialect::AddOp op3 =
+      builder->Build<paddle::dialect::AddOp>(op1.out(), op2.out());
+
+  paddle::dialect::FullOp op4 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 1.0, phi::DataType::FLOAT32, phi::CPUPlace());
+
+  std::vector<std::vector<bool>> stop_gradients{{false}, {false}};
+  std::vector<std::vector<ir::OpResult>> out_grads{{op4.out()}};
+
+  ir::OpInfo op3_info = ctx->GetRegisteredOpInfo("pd.add");
+  auto add_vjp_interface_impl =
+      op3_info.GetInterfaceImpl<paddle::dialect::VjpInterface>();
+  add_vjp_interface_impl->vjp_(op3.operation(), out_grads, stop_gradients);
+
+  auto kernel_program = paddle::dialect::PdOpLowerToKernelPass(&program);
+
+  auto place = platform::CPUPlace();
+  Scope scope;
+
+  ProgramDesc prog_desc;
+  InterpreterCore test_core(place, {}, std::move(kernel_program), &scope);
+  std::stringstream os;
+  os << reinterpret_cast<NewIRInterpreter*>(
+      const_cast<InterpreterBaseImpl*>(test_core.Impl()));
+  std::string prefix_str = os.str();
+  test_core.SetSkipGcVars({prefix_str + "_inner_var_2",
+                           prefix_str + "_inner_var_4",
+                           prefix_str + "_inner_var_5"});
+  test_core.Run({});
+  auto out_tensor =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_2")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_2")
+                ->Get<phi::DenseTensor>();
+  auto dx =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_4")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_4")
+                ->Get<phi::DenseTensor>();
+
+  auto dy =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_5")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_5")
+                ->Get<phi::DenseTensor>();
+  ASSERT_EQ(out_tensor.data<float>()[0], 4.0);
+  ASSERT_EQ(dx.data<float>()[0], 1.0);
+  ASSERT_EQ(dy.data<float>()[0], 1.0);
+}
+
+TEST(VJP, Add_BackwardTest) {
+  ir::IrContext* ctx = ir::IrContext::Instance();
+  ir::Program program((ctx));
+  paddle::dialect::APIBuilder::Instance().SetProgram(&program);
+
+  std::shared_ptr<ir::Builder> builder =
+      paddle::dialect::APIBuilder::Instance().GetBuilder();
+  paddle::dialect::FullOp op1 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 2.0, phi::DataType::FLOAT32, phi::CPUPlace());
+  paddle::dialect::FullOp op2 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 2.0, phi::DataType::FLOAT32, phi::CPUPlace());
+  paddle::dialect::Add_Op op3 =
+      builder->Build<paddle::dialect::Add_Op>(op1.out(), op2.out());
+
+  paddle::dialect::FullOp op4 = builder->Build<paddle::dialect::FullOp>(
+      std::vector<int64_t>{1}, 1.0, phi::DataType::FLOAT32, phi::CPUPlace());
+
+  std::vector<std::vector<bool>> stop_gradients{{false}, {false}};
+  std::vector<std::vector<ir::OpResult>> out_grads{{op4.out()}};
+
+  ir::OpInfo op3_info = ctx->GetRegisteredOpInfo("pd.add_");
+  auto add_inplace_vjp_interface_impl =
+      op3_info.GetInterfaceImpl<paddle::dialect::VjpInterface>();
+  add_inplace_vjp_interface_impl->vjp_(
+      op3.operation(), out_grads, stop_gradients);
+
+  auto kernel_program = paddle::dialect::PdOpLowerToKernelPass(&program);
+
+  auto place = platform::CPUPlace();
+  Scope scope;
+
+  ProgramDesc prog_desc;
+  InterpreterCore test_core(place, {}, std::move(kernel_program), &scope);
+  std::stringstream os;
+  os << reinterpret_cast<NewIRInterpreter*>(
+      const_cast<InterpreterBaseImpl*>(test_core.Impl()));
+  std::string prefix_str = os.str();
+  test_core.SetSkipGcVars({prefix_str + "_inner_var_0",
+                           prefix_str + "_inner_var_3",
+                           prefix_str + "_inner_var_4"});
+  test_core.Run({});
+  auto out_tensor =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_0")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_0")
+                ->Get<phi::DenseTensor>();
+  auto dx =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_3")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_3")
+                ->Get<phi::DenseTensor>();
+
+  auto dy =
+      test_core.local_scope() == nullptr
+          ? scope.FindVar(prefix_str + "_inner_var_4")->Get<phi::DenseTensor>()
+          : test_core.local_scope()
+                ->FindVar(prefix_str + "_inner_var_4")
+                ->Get<phi::DenseTensor>();
+  ASSERT_EQ(out_tensor.data<float>()[0], 4.0);
+  ASSERT_EQ(dx.data<float>()[0], 1.0);
+  ASSERT_EQ(dy.data<float>()[0], 1.0);
+}
 }  // namespace framework
 }  // namespace paddle