diff --git a/CMakeLists.txt b/CMakeLists.txt
index 5e19a5024b..1db8b19893 100755
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -262,7 +262,7 @@ if(AER_THRUST_SUPPORTED)
 		set(CUDA_NVCC_FLAGS "${CUDA_NVCC_FLAGS} ${AER_CUDA_ARCH_FLAGS_EXPAND} -DAER_THRUST_CUDA -I${AER_SIMULATOR_CPP_SRC_DIR} -isystem ${AER_SIMULATOR_CPP_SRC_DIR}/third-party/headers -use_fast_math --expt-extended-lambda")
 
 		set(AER_COMPILER_DEFINITIONS ${AER_COMPILER_DEFINITIONS} THRUST_DEVICE_SYSTEM=THRUST_DEVICE_SYSTEM_CUDA)
-		set(THRUST_DEPENDENT_LIBS "")
+		set(THRUST_DEPENDANT_LIBS "-L${CUDA_TOOLKIT_ROOT_DIR}/lib64")
 		if(NOT DEFINED CUQUANTUM_ROOT)
 			if(DEFINED ENV{CUQUANTUM_ROOT})
 				set(CUQUANTUM_ROOT $ENV{CUQUANTUM_ROOT})
@@ -283,14 +283,14 @@ if(AER_THRUST_SUPPORTED)
 			set(AER_COMPILER_DEFINITIONS ${AER_COMPILER_DEFINITIONS} AER_CUSTATEVEC AER_CUTENSORNET)
 			if(DEFINED CUQUANTUM_ROOT)
 				set(AER_COMPILER_FLAGS "${AER_COMPILER_FLAGS} -I${CUQUANTUM_ROOT}/include")
-				set(THRUST_DEPENDANT_LIBS "-L${CUQUANTUM_ROOT}/lib/${CUDA_VERSION_MAJOR}")
+				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -L${CUQUANTUM_ROOT}/lib/${CUDA_VERSION_MAJOR}")
 			endif()
 			if(DEFINED CUTENSOR_ROOT)
 				set(AER_COMPILER_FLAGS "${AER_COMPILER_FLAGS} -I${CUTENSOR_ROOT}/include")
 				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -L${CUTENSOR_ROOT}/lib/${CUDA_VERSION_MAJOR}")
 			endif()
             if(CUQUANTUM_STATIC)
-				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -lcustatevec_static -lcutensornet_static  -lcutensor -lcublas")
+				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -lcustatevec_static -lcutensornet_static  -lcutensor_static -lmetis_static -lcusolver_static -lcusparse_static -lcusolver_lapack_static -lcublas_static -lcublasLt_static -lculibos")
 			else()
 				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -lcustatevec -lcutensornet -lcutensor")
 			endif()
@@ -299,9 +299,9 @@ if(AER_THRUST_SUPPORTED)
 			set(AER_COMPILER_DEFINITIONS ${AER_COMPILER_DEFINITIONS} AER_CUSTATEVEC)
 			set(AER_COMPILER_FLAGS "${AER_COMPILER_FLAGS} -I${CUSTATEVEC_ROOT}/include")
             if(CUSTATEVEC_STATIC)
-				set(THRUST_DEPENDANT_LIBS "-L${CUSTATEVEC_ROOT}/lib -L${CUSTATEVEC_ROOT}/lib64 -lcustatevec_static -L${CUDA_TOOLKIT_ROOT_DIR}/lib64 -lcublas")
+				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -L${CUSTATEVEC_ROOT}/lib -L${CUSTATEVEC_ROOT}/lib/${CUDA_VERSION_MAJOR} -lcustatevec_static -lcusolver_static -lcusparse_static -lcusolver_lapack_static -lcublas_static -lcublasLt_static -lculibos")
 			else()
-				set(THRUST_DEPENDANT_LIBS "-L${CUSTATEVEC_ROOT}/lib -L${CUSTATEVEC_ROOT}/lib64 -lcustatevec")
+				set(THRUST_DEPENDANT_LIBS "${THRUST_DEPENDANT_LIBS} -L${CUSTATEVEC_ROOT}/lib -L${CUSTATEVEC_ROOT}/lib/${CUDA_VERSION_MAJOR} -lcustatevec")
 			endif()
 		endif()
 	elseif(AER_THRUST_BACKEND STREQUAL "TBB")
diff --git a/releasenotes/notes/fix_cuQuantum_static-ad132d742a64a3d5.yaml b/releasenotes/notes/fix_cuQuantum_static-ad132d742a64a3d5.yaml
new file mode 100644
index 0000000000..86ba4a6d65
--- /dev/null
+++ b/releasenotes/notes/fix_cuQuantum_static-ad132d742a64a3d5.yaml
@@ -0,0 +1,5 @@
+---
+fixes:
+  - |
+    This is fix for static link libraries of cuQuantum when building with
+    CUQUANTUM_STATIC=true.