diff --git a/releasenotes/notes/fix-thrust-cpu-threads-67db86b2edcf06b3.yaml b/releasenotes/notes/fix-thrust-cpu-threads-67db86b2edcf06b3.yaml
new file mode 100644
index 0000000000..5495540da3
--- /dev/null
+++ b/releasenotes/notes/fix-thrust-cpu-threads-67db86b2edcf06b3.yaml
@@ -0,0 +1,6 @@
+---
+fixes:
+  - |
+    device=Thrust was very slow for small number of qubits because OpenMP
+    threading was always applied. This fix applies OpenMP threads as same
+    as device=CPU by using statevector_parallel_threshold.
diff --git a/src/controllers/aer_controller.hpp b/src/controllers/aer_controller.hpp
index 50b57b4eb2..e0f2de079f 100755
--- a/src/controllers/aer_controller.hpp
+++ b/src/controllers/aer_controller.hpp
@@ -991,7 +991,7 @@ Result Controller::execute(std::vector<Circuit> &circuits,
     const int NUM_RESULTS = result.results.size();
     //following looks very similar but we have to separate them to avoid omp nested loops that causes performance degradation
     //(DO NOT use if statement in #pragma omp)
-    if (parallel_experiments_ == 1 || sim_device_ == Device::ThrustCPU) {
+    if (parallel_experiments_ == 1) {
       for (int j = 0; j < NUM_RESULTS; ++j) {
         set_parallelization_circuit(circuits[j], noise_model, methods[j]);
         run_circuit(circuits[j], noise_model,methods[j],
diff --git a/src/simulators/statevector/chunk/chunk_container.hpp b/src/simulators/statevector/chunk/chunk_container.hpp
index 0a5fd0a91a..834c4f30ea 100644
--- a/src/simulators/statevector/chunk/chunk_container.hpp
+++ b/src/simulators/statevector/chunk/chunk_container.hpp
@@ -108,6 +108,8 @@ class ChunkContainer : public std::enable_shared_from_this<ChunkContainer<data_t
   bool keep_conditional_bit_;         //keep conditional bit alive
   int_t num_pow2_qubits_;             //largest number of qubits that meets num_chunks_ = m*(2^num_pow2_qubits_)
   bool density_matrix_;
+
+  int_t omp_threads_;                 //number of threads can be used for parallelization on CPU
 public:
   ChunkContainer()
   {
@@ -121,6 +123,7 @@ class ChunkContainer : public std::enable_shared_from_this<ChunkContainer<data_t
     keep_conditional_bit_ = false;
     matrix_bits_ = AER_DEFAULT_MATRIX_BITS;
     density_matrix_ = false;
+    omp_threads_ = 1;
   }
   virtual ~ChunkContainer(){}
 
@@ -197,6 +200,11 @@ class ChunkContainer : public std::enable_shared_from_this<ChunkContainer<data_t
     chunk_index_ = chunk_index;
   }
 
+  void set_omp_threads(int_t nthreads)
+  {
+    omp_threads_ = nthreads;
+  }
+
   virtual thrust::complex<data_t>& operator[](uint_t i) = 0;
 
   virtual uint_t Allocate(int idev,int chunk_bits,int num_qubits,uint_t chunks,uint_t buffers = AER_MAX_BUFFERS,bool multi_shots = false,int matrix_bit = AER_DEFAULT_MATRIX_BITS, bool density_matrix = false) = 0;
@@ -485,7 +493,10 @@ void ChunkContainer<data_t>::Execute(Function func,uint_t iChunk,uint_t count)
   else
     size = count * func.size(chunk_bits_);
   auto ci = thrust::counting_iterator<uint_t>(0);
-  thrust::for_each_n(thrust::device, ci , size, func);
+  if(omp_threads_ > 1)
+    thrust::for_each_n(thrust::device, ci , size, func);
+  else
+    thrust::for_each_n(thrust::seq, ci , size, func);
 #endif
 
 }
@@ -642,7 +653,10 @@ void ChunkContainer<data_t>::ExecuteSum(double* pSum,Function func,uint_t iChunk
     auto ci = thrust::counting_iterator<uint_t>(0);
 
     double sum;
-    sum = thrust::transform_reduce(thrust::device, ci, ci + size, func,0.0,thrust::plus<double>());
+    if(omp_threads_ > 1)
+      sum = thrust::transform_reduce(thrust::device, ci, ci + size, func,0.0,thrust::plus<double>());
+    else
+      sum = thrust::transform_reduce(thrust::seq, ci, ci + size, func,0.0,thrust::plus<double>());
     if(count == 1 && pSum){
       *pSum = sum;
     }
@@ -783,7 +797,10 @@ void ChunkContainer<data_t>::ExecuteSum2(double* pSum,Function func,uint_t iChun
 
     auto ci = thrust::counting_iterator<uint_t>(0);
 
-    ret = thrust::transform_reduce(thrust::device, ci, ci + size, func,zero,complex_sum());
+    if(omp_threads_ > 1)
+      ret = thrust::transform_reduce(thrust::device, ci, ci + size, func,zero,complex_sum());
+    else
+      ret = thrust::transform_reduce(thrust::seq, ci, ci + size, func,zero,complex_sum());
 
     if(count == 1 && pSum){
       *((thrust::complex<double>*)pSum) = ret;
diff --git a/src/simulators/statevector/chunk/device_chunk_container.hpp b/src/simulators/statevector/chunk/device_chunk_container.hpp
index 7d5cf6f108..b836a7c4b1 100644
--- a/src/simulators/statevector/chunk/device_chunk_container.hpp
+++ b/src/simulators/statevector/chunk/device_chunk_container.hpp
@@ -653,7 +653,10 @@ void DeviceChunkContainer<data_t>::Zero(uint_t iChunk,uint_t count)
 #ifdef AER_THRUST_CUDA
   thrust::fill_n(thrust::cuda::par.on(stream_),data_.begin() + (iChunk << this->chunk_bits_),count,0.0);
 #else
-  thrust::fill_n(thrust::device,data_.begin() + (iChunk << this->chunk_bits_),count,0.0);
+  if(this->omp_threads_ > 1)
+    thrust::fill_n(thrust::device,data_.begin() + (iChunk << this->chunk_bits_),count,0.0);
+  else
+    thrust::fill_n(thrust::seq,data_.begin() + (iChunk << this->chunk_bits_),count,0.0);
 #endif
 }
 
@@ -700,12 +703,22 @@ reg_t DeviceChunkContainer<data_t>::sample_measure(uint_t iChunk,const std::vect
   cudaStreamSynchronize(stream_);
 
 #else
-  if(dot)
-    thrust::transform_inclusive_scan(thrust::device,iter.begin(),iter.end(),iter.begin(),complex_dot_scan<data_t>(),thrust::plus<thrust::complex<data_t>>());
-  else
-    thrust::inclusive_scan(thrust::device,iter.begin(),iter.end(),iter.begin(),thrust::plus<thrust::complex<data_t>>());
+  if(this->omp_threads_ > 1){
+    if(dot)
+      thrust::transform_inclusive_scan(thrust::device,iter.begin(),iter.end(),iter.begin(),complex_dot_scan<data_t>(),thrust::plus<thrust::complex<data_t>>());
+    else
+      thrust::inclusive_scan(thrust::device,iter.begin(),iter.end(),iter.begin(),thrust::plus<thrust::complex<data_t>>());
 
-  thrust::lower_bound(thrust::device, iter.begin(), iter.end(), rnds.begin(), rnds.begin() + SHOTS, samples.begin() ,complex_less<data_t>());
+    thrust::lower_bound(thrust::device, iter.begin(), iter.end(), rnds.begin(), rnds.begin() + SHOTS, samples.begin() ,complex_less<data_t>());
+  }
+  else{
+    if(dot)
+      thrust::transform_inclusive_scan(thrust::seq,iter.begin(),iter.end(),iter.begin(),complex_dot_scan<data_t>(),thrust::plus<thrust::complex<data_t>>());
+    else
+      thrust::inclusive_scan(thrust::seq,iter.begin(),iter.end(),iter.begin(),thrust::plus<thrust::complex<data_t>>());
+
+    thrust::lower_bound(thrust::seq, iter.begin(), iter.end(), rnds.begin(), rnds.begin() + SHOTS, samples.begin() ,complex_less<data_t>());
+  }
 #endif
 
   return samples;
diff --git a/src/simulators/statevector/qubitvector_thrust.hpp b/src/simulators/statevector/qubitvector_thrust.hpp
index ec28046fdb..485310cc7d 100644
--- a/src/simulators/statevector/qubitvector_thrust.hpp
+++ b/src/simulators/statevector/qubitvector_thrust.hpp
@@ -34,6 +34,11 @@
 
 #include "simulators/statevector/chunk/chunk_manager.hpp"
 
+#ifdef _OPENMP
+#include <omp.h>
+#endif
+
+
 namespace AER {
 namespace QV {
 
@@ -483,7 +488,7 @@ class QubitVectorThrust {
   // Config settings
   //----------------------------------------------------------------------- 
   uint_t omp_threads_ = 1;     // Disable multithreading by default
-  uint_t omp_threshold_ = 1;  // Qubit threshold for multithreading when enabled
+  uint_t omp_threshold_ = 14;  // Qubit threshold for multithreading when enabled
   int sample_measure_index_size_ = 1; // Sample measure indexing qubit size
   double json_chop_threshold_ = 0;  // Threshold for choping small values
                                     // in JSON serialization
@@ -901,6 +906,10 @@ void QubitVectorThrust<data_t>::set_num_qubits(size_t num_qubits)
 
   register_blocking_ = false;
 
+  //set OpenMP threads for ThrustCPU
+  if(num_qubits_ > omp_threshold_ && omp_threads_ > 1)
+    chunk_.container()->set_omp_threads(omp_threads_);
+
 #ifdef AER_DEBUG
   if(chunk_.pos() == 0){
     spdlog::debug(" ==== Thrust qubit vector initialization {} qubits ====",num_qubits_);
@@ -1391,9 +1400,16 @@ void QubitVectorThrust<data_t>::apply_function_sum2(double* pSum,Function func,b
  ******************************************************************************/
 
 template <typename data_t>
-void QubitVectorThrust<data_t>::set_omp_threads(int n) {
+void QubitVectorThrust<data_t>::set_omp_threads(int n) 
+{
   if (n > 0)
     omp_threads_ = n;
+
+#ifdef _OPENMP
+  //disable nested parallel for ThrustCPU
+  if(omp_get_num_threads() > 1)
+    omp_threads_ = 1;
+#endif
 }
 
 template <typename data_t>