diff --git a/paddle/framework/backward.cc b/paddle/framework/backward.cc
index b6c46302b1f39b79f60e6f6accb4a3e6becb001f..2940af7e3a15f7acf1215f6f3f5bdb0cad7a7386 100644
--- a/paddle/framework/backward.cc
+++ b/paddle/framework/backward.cc
@@ -53,11 +53,6 @@ static std::shared_ptr<OperatorBase> EmptyOp() {
 static std::shared_ptr<OperatorBase> BackwardImpl(
     const OperatorBase& forwardOp,
     std::unordered_set<std::string>& no_grad_names, size_t& uniq_id) {
-  // struct OpIdentity {
-  //   size_t local_op_id;
-  //   size_t op_output_offset;
-  // };
-
   if (AllInSet(forwardOp.inputs_, OperatorBase::GRAD_VAR_SUFFIX(),
                no_grad_names)) {
     return EmptyOp();
@@ -87,7 +82,7 @@ static std::shared_ptr<OperatorBase> BackwardImpl(
     for (auto it = forwardNet.ops_.rbegin(); it != forwardNet.ops_.rend();
          ++it) {
       auto fwd = *it;
-      auto bwd = Backward(*fwd, no_grad_names);
+      auto bwd = BackwardImpl(*fwd, no_grad_names, uniq_id);
       net->AddOp(bwd);
       for (size_t i = 0; i < bwd->outputs_.size(); ++i) {
         dup_output_ops[bwd->outputs_[i]].emplace_back(local_op_id);
@@ -136,6 +131,7 @@ static std::shared_ptr<OperatorBase> BackwardImpl(
                                         {grad_input}, {}));
       }
     }
+
     for (std::string& grad_output : grad_op->outputs_) {
       if (no_grad_names.count(grad_output)) {
         grad_output = OperatorBase::EMPTY_VAR_NAME();
diff --git a/paddle/framework/backward_test.cc b/paddle/framework/backward_test.cc
index a481cb1b2a7ccfd41e5e07265b4809c53649e634..69faee9fb71516c8a13a75b493dc193669623800 100644
--- a/paddle/framework/backward_test.cc
+++ b/paddle/framework/backward_test.cc
@@ -251,8 +251,9 @@ TEST(Backward, net_input_of_network_not_need_grad) {
   ASSERT_TRUE(bwd_net->ops_[1]->IsNetOp());
   auto first_fc_grad = static_cast<f::NetOp *>(bwd_net->ops_[1].get());
   ASSERT_EQ(3UL, first_fc_grad->ops_.size());
-  ASSERT_EQ(f::OperatorBase::EMPTY_VAR_NAME(),
-            first_fc_grad[2].Output("X" + f::OperatorBase::GRAD_VAR_SUFFIX()));
+  ASSERT_EQ(
+      f::OperatorBase::EMPTY_VAR_NAME(),
+      first_fc_grad->ops_[2]->Output("A" + f::OperatorBase::GRAD_VAR_SUFFIX()));
 }
 
 TEST(Backward, net_shared_weight) {
@@ -265,14 +266,13 @@ TEST(Backward, net_shared_weight) {
   ASSERT_TRUE(bwd->IsNetOp());
   auto bwd_net = static_cast<f::NetOp *>(bwd.get());
   ASSERT_EQ(3UL, bwd_net->ops_.size());
-  LOG(INFO) << bwd_net->DebugString();
   ASSERT_EQ("add_grad", bwd_net->ops_[2]->type_);
 }
 
 TEST(Backward, op_register_grad_not_for_network) {
-  auto fwd =
-      f::OpRegistry::CreateOp("fc", {"X", "W", "b"}, {"Out", "tmp_out"},
-                              {{"temporary_index", std::vector<int>{1}}});
+  auto fwd = f::OpRegistry::CreateOp(
+      "fc", {"X", "W", "b"}, {"mul_result", "add_result", "Out"},
+      {{"temporary_index", std::vector<int>{1}}});
   ASSERT_THROW(f::OpRegistry::CreateGradOp(*fwd), EnforceNotMet);
 }
 
@@ -320,11 +320,9 @@ TEST(Backward, op_part_of_output_are_not_need) {
 TEST(Backward, op_part_of_input_are_not_need) {
   auto fwd = f::OpRegistry::CreateOp("mul", {"a", "b"}, {"out"}, {});
   auto backward = f::Backward(*fwd, {"a"});
-  ASSERT_TRUE(backward->IsNetOp());
-  auto net = static_cast<f::NetOp *>(backward.get());
-  ASSERT_EQ(net->ops_.size(), 1UL);
+  ASSERT_TRUE(!backward->IsNetOp());
 
-  auto &grad_mul = *net->ops_[0];
+  auto &grad_mul = *backward;
   ASSERT_EQ(grad_mul.type_, "mul_grad");
   ASSERT_EQ(grad_mul.inputs_.size(), 2UL + 1UL + 1UL);
   ASSERT_EQ(grad_mul.outputs_.size(), 2UL);
@@ -341,10 +339,13 @@ TEST(Backward, op_part_of_input_are_not_need) {
 
 TEST(Backward, linear_net_intermediate_variable_has_no_grad) {
   f::NetOp net;
-  net.AddOp(f::OpRegistry::CreateOp("fc", {"x1", "w1", "b1"}, {"out1"}, {}));
-  net.AddOp(f::OpRegistry::CreateOp("fc", {"out1", "w2", "b2"}, {"out2"}, {}));
-  net.AddOp(f::OpRegistry::CreateOp("fc", {"out2", "w3", "b3"}, {"out3"}, {}));
-  net.CompleteAddOp(false);
+  net.AddOp(f::OpRegistry::CreateOp("fc", {"x1", "w1", "b1"},
+                                    {"mul_out1", "add_out1", "out1"}, {}));
+  net.AddOp(f::OpRegistry::CreateOp("fc", {"out1", "w2", "b2"},
+                                    {"mul_out2", "tmp_out2", "out2"}, {}));
+  net.AddOp(f::OpRegistry::CreateOp("fc", {"out2", "w3", "b3"},
+                                    {"mul_out3", "tmp_out3", "out3"}, {}));
+  net.CompleteAddOp();
   auto backward = f::Backward(net, {"out2"});
   ASSERT_TRUE(backward->IsNetOp());
   auto bwd_net = static_cast<f::NetOp *>(backward.get());