diff --git a/mindspore/ccsrc/frontend/optimizer/ad/kprim.cc b/mindspore/ccsrc/frontend/optimizer/ad/kprim.cc
index 028a972433..a1a28bf57a 100644
--- a/mindspore/ccsrc/frontend/optimizer/ad/kprim.cc
+++ b/mindspore/ccsrc/frontend/optimizer/ad/kprim.cc
@@ -120,6 +120,9 @@ FuncGraphPtr KPrim::KPrimitive(const ValueNodePtr &value_node, const pipeline::R
 
   FuncGraphPtr bprop_fg = nullptr;
   if (prim->Hash() == prim::kPrimHookBackward->Hash() && prim->name() == prim::kPrimHookBackward->name()) {
+    if (MsContext::GetInstance()->get_param<int>(MsCtxParam::MS_CTX_EXECUTION_MODE) == kGraphMode) {
+      MS_LOG(EXCEPTION) << "HookBackward is not supported in graph mode.";
+    }
     bprop_fg = BpropCut(value_node, resources);
   } else {
     auto iter = bprop_registry_.find(prim);
diff --git a/mindspore/ccsrc/pipeline/jit/static_analysis/prim.cc b/mindspore/ccsrc/pipeline/jit/static_analysis/prim.cc
index ba767052ce..1173fde886 100644
--- a/mindspore/ccsrc/pipeline/jit/static_analysis/prim.cc
+++ b/mindspore/ccsrc/pipeline/jit/static_analysis/prim.cc
@@ -1198,7 +1198,7 @@ void ClearPrimEvaluatorMap() {
   GetUniformPrimitiveToImplMap().clear();
 }
 
-bool IsInWhiteList(const PrimitivePtr primitive) {
+bool IsInWhiteList(const PrimitivePtr &primitive) {
   MS_EXCEPTION_IF_NULL(primitive);
 
   auto iter = GetPrimitiveToEvalImplMap().find(primitive);
diff --git a/mindspore/ccsrc/pipeline/jit/static_analysis/prim.h b/mindspore/ccsrc/pipeline/jit/static_analysis/prim.h
index 477d9ba861..1dd8468372 100644
--- a/mindspore/ccsrc/pipeline/jit/static_analysis/prim.h
+++ b/mindspore/ccsrc/pipeline/jit/static_analysis/prim.h
@@ -111,7 +111,7 @@ class MixedPrecisionCastEvaluator : public Evaluator {
   PrimitivePtr prim_;
 };
 
-bool IsInWhiteList(PrimitivePtr primitive);
+bool IsInWhiteList(const PrimitivePtr &primitive);
 StandardPrimitiveEvalImpl GetPrimitiveInferImpl(const PrimitivePtr &primitive);
 
 using ValuePtrList = std::vector<ValuePtr>;
diff --git a/mindspore/ccsrc/pipeline/jit/validator.cc b/mindspore/ccsrc/pipeline/jit/validator.cc
index 6046666add..ad2b127fdd 100644
--- a/mindspore/ccsrc/pipeline/jit/validator.cc
+++ b/mindspore/ccsrc/pipeline/jit/validator.cc
@@ -47,7 +47,7 @@ void ValidateOperation(const AnfNodePtr &node) {
   }
 
   // Primitive must in whitelist
-  PrimitivePtr prim = GetValueNode<PrimitivePtr>(node);
+  auto prim = GetValueNode<PrimitivePtr>(node);
   if (abstract::IsInWhiteList(prim)) {
     return;
   }
diff --git a/mindspore/ccsrc/pipeline/pynative/pynative_execute.cc b/mindspore/ccsrc/pipeline/pynative/pynative_execute.cc
index 0a0ac388dc..199a083fcc 100644
--- a/mindspore/ccsrc/pipeline/pynative/pynative_execute.cc
+++ b/mindspore/ccsrc/pipeline/pynative/pynative_execute.cc
@@ -1257,7 +1257,7 @@ void PynativeExecutor::EndGraphByOutId(const std::string &out_id, const py::obje
   if (need_replace_param) {
     auto params = newfg->parameters();
     auto manager = Manage({newfg}, false);
-    for (size_t i = 0; i < params.size(); i++) {
+    for (size_t i = 0; i < args.size(); i++) {
       ValuePtr value = PyAttrValue(args[i]);
       auto v_node = NewValueNode(value);
       manager->Replace(params[i], v_node);
diff --git a/mindspore/nn/cell.py b/mindspore/nn/cell.py
index f2098ac3db..9c3c95636a 100755
--- a/mindspore/nn/cell.py
+++ b/mindspore/nn/cell.py
@@ -304,7 +304,7 @@ class Cell(Cell_):
             _pynative_exec.end_graph(self, output, *inputs, **kwargs)
             for i, cell in enumerate(self.cells()):
                 cell.set_grad(origin_grad[i])
-        self._already_run = True
+            self._already_run = True
         return output
 
     def _add_attr(self, name, value):