diff --git a/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.cc b/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.cc
index 311abb634e..69b9e00457 100644
--- a/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.cc
+++ b/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.cc
@@ -260,6 +260,19 @@ bool AscendKernelRuntime::GenTask(const session::KernelGraph *graph) {
   auto anf_node_list = graph->execution_order();
   TaskGenerator::GenTasks(anf_node_list, &task_info_list, graph->graph_id());
 
+  // Store the task_info_list
+  auto iter = task_map_.find(graph);
+  if (iter != task_map_.end()) {
+    MS_LOG(EXCEPTION) << "graph TaskInfo list already exist";
+  }
+  task_map_[graph] = task_info_list;
+
+  // Graph may have no compute node, such TensorAddGrad.
+  if (task_info_list.empty()) {
+    MS_LOG(WARNING) << "graph " << graph->graph_id() << " have no compute node";
+    return true;
+  }
+
   AscendStreamAssign &assign_instance = AscendStreamAssign::GetInstance();
   // the streams' flag not HEAD_STREAM
   std::vector<uint32_t> wait_active_stream_list = assign_instance.GetWaitStreams();
@@ -278,10 +291,6 @@ bool AscendKernelRuntime::GenTask(const session::KernelGraph *graph) {
   graph_model_map_[graph] = model;
   graph_model_id_map_[graph] = graph->graph_id();
   MS_LOG(INFO) << "TaskGenerator GetTaskInfo end...";
-
-  // Store the task_info_list
-  task_map_.insert(std::make_pair(graph, task_info_list));
-
   return true;
 }
 
@@ -305,6 +314,11 @@ bool AscendKernelRuntime::LoadTask(const session::KernelGraph *graph) {
     return true;
   }
 
+  if (GraphWithEmptyTaskList(graph)) {
+    MS_LOG(WARNING) << "LoadTask end, task list is empty";
+    return true;
+  }
+
   auto task_iter = graph_model_map_.find(graph);
   if (task_iter == graph_model_map_.end()) {
     MS_LOG(ERROR) << "task not exist";
@@ -333,6 +347,11 @@ bool AscendKernelRuntime::RunTask(const session::KernelGraph *graph) {
   MS_EXCEPTION_IF_NULL(context_ptr);
   ge::InputData input_tensors = ge::InputData();
   ge::OutputData *output_tensors = nullptr;
+  if (GraphWithEmptyTaskList(graph)) {
+    MS_LOG(WARNING) << "RunTask end, no task info found";
+    return true;
+  }
+
   auto model_id = GetGraphModelId(graph);
   bool status = ge::model_runner::ModelRunner::Instance().RunModel(model_id, input_tensors, output_tensors);
   if (!status) {
@@ -468,6 +487,14 @@ bool AscendKernelRuntime::DestroyHccl() {
   context_ptr->set_enable_hccl(false);
   return true;
 }
+
+bool AscendKernelRuntime::GraphWithEmptyTaskList(const session::KernelGraph *graph) const {
+  auto iter = task_map_.find(graph);
+  if (iter == task_map_.end()) {
+    MS_LOG(EXCEPTION) << "Unknown graph ptr";
+  }
+  return iter->second.empty();
+}
 }  // namespace ascend
 }  // namespace device
 }  // namespace mindspore
diff --git a/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.h b/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.h
index 0eedad3d2b..547228d32f 100644
--- a/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.h
+++ b/mindspore/ccsrc/device/ascend/ascend_kernel_runtime.h
@@ -55,6 +55,8 @@ class AscendKernelRuntime : public KernelRuntime {
   void ClearGraphModelMap();
   void ReleaseDeviceRes() override;
   uint32_t GetGraphModelId(const session::KernelGraph *kernel_graph);
+  bool GraphWithEmptyTaskList(const session::KernelGraph *graph) const;
+
   rtContext_t rt_context_{nullptr};
   bool initialized_{false};
   unordered_map<const session::KernelGraph *, vector<std::shared_ptr<TaskInfo>>> task_map_;