diff --git a/paddle/framework/lod_tensor_test.cu b/paddle/framework/lod_tensor_test.cu
index c79c4d0c721f9e568c937cb9e524e925fcdc83d0..5b90fbfca7f6bec4f2c862d0ff18dfd7cf39e181 100644
--- a/paddle/framework/lod_tensor_test.cu
+++ b/paddle/framework/lod_tensor_test.cu
@@ -36,8 +36,8 @@ TEST(LoDTensor, LoDInGPU) {
   lod_tensor.mutable_data<float>(place);
 
   lod_tensor.set_lod(src_lod);
-  CHECK_EQ(lod_tensor.lod_element(0, 2).first, 4UL);
-  CHECK_EQ(lod_tensor.lod_element(0, 4).first, 8UL);
+  EXPECT_EQ(lod_tensor.lod_element(0, 2).first, 4UL);
+  EXPECT_EQ(lod_tensor.lod_element(0, 4).first, 8UL);
 
   auto lod = lod_tensor.lod();
 
@@ -45,6 +45,6 @@ TEST(LoDTensor, LoDInGPU) {
   cudaDeviceSynchronize();
 
   for (size_t i = 0; i < src_lod[0].size(); ++i) {
-    CHECK_EQ(lod[0].data()[i], src_lod[0].data()[i] * 2);
+    EXPECT_EQ(lod[0].data()[i], src_lod[0].data()[i] * 2);
   }
-}
\ No newline at end of file
+}
diff --git a/paddle/operators/lstm_op.cc b/paddle/operators/lstm_op.cc
index 0a089b7c2dc1e05224525bc4fe5399ec39036d01..94342d940704d850a2a45c281a3d88de5a132753 100644
--- a/paddle/operators/lstm_op.cc
+++ b/paddle/operators/lstm_op.cc
@@ -21,7 +21,6 @@ class LSTMOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
 
- protected:
   void InferShape(framework::InferShapeContext* ctx) const override {
     PADDLE_ENFORCE(ctx->HasInput("Input"),
                    "Input(Input) of LSTM should not be null.");
@@ -29,9 +28,13 @@ class LSTMOp : public framework::OperatorWithKernel {
                    "Output(Hidden) of LSTM should not be null.");
     PADDLE_ENFORCE(ctx->HasOutput("Cell"),
                    "Output(Cell) of LSTM should not be null.");
+    PADDLE_ENFORCE(ctx->HasOutput("BatchGate"),
+                   "Output(BatchGate) of LSTM should not be null.");
+    PADDLE_ENFORCE(ctx->HasOutput("BatchCellPreAct"),
+                   "Output(BatchGate) of LSTM should not be null.");
 
-    auto x_dims = ctx->GetInputDim("Input");
-    PADDLE_ENFORCE_EQ(x_dims.size(), 2, "Input(X)'s rank must be 2.");
+    auto in_dims = ctx->GetInputDim("Input");
+    PADDLE_ENFORCE_EQ(in_dims.size(), 2, "Input(X)'s rank must be 2.");
 
     if (ctx->HasInput("H0")) {
       PADDLE_ENFORCE(ctx->HasInput("C0"),
@@ -44,7 +47,7 @@ class LSTMOp : public framework::OperatorWithKernel {
                      "should be the same.");
     }
 
-    int frame_size = x_dims[1] / 4;
+    int frame_size = in_dims[1] / 4;
     auto w_dims = ctx->GetInputDim("Weight");
     PADDLE_ENFORCE_EQ(w_dims.size(), 2,
                       "The rank of Input(Weight) should be 2.");
@@ -71,12 +74,21 @@ class LSTMOp : public framework::OperatorWithKernel {
                         "4 * %d if disable peepholes connection",
                         frame_size);
     }
-    ctx->SetOutputDim("Hidden", {x_dims[0], frame_size});
-    ctx->SetOutputDim("Cell", {x_dims[0], frame_size});
-    ctx->SetOutputDim("BatchGate", x_dims);
+    framework::DDim out_dims({in_dims[0], frame_size});
+    ctx->SetOutputDim("Hidden", out_dims);
+    ctx->SetOutputDim("Cell", out_dims);
+    ctx->SetOutputDim("BatchGate", in_dims);
+    ctx->SetOutputDim("BatchCellPreAct", out_dims);
     ctx->ShareLoD("Input", "Hidden");
     ctx->ShareLoD("Input", "Cell");
   }
+
+ protected:
+  framework::DataType IndicateDataType(
+      const framework::ExecutionContext& ctx) const override {
+    return framework::ToDataType(
+        ctx.Input<framework::LoDTensor>("Input")->type());
+  }
 };
 
 class LSTMOpMaker : public framework::OpProtoAndCheckerMaker {
@@ -86,16 +98,18 @@ class LSTMOpMaker : public framework::OpProtoAndCheckerMaker {
     AddInput("Input",
              "(LoDTensor) the first input is a LodTensor, which support "
              "variable-time length input sequence. The underlying tensor in "
-             "this LoDTensor is a matrix with shape (T X 4D), where, T is the "
+             "this LoDTensor is a matrix with shape (T X 4D), where T is the "
              "total time steps in this mini-batch, D is the hidden size.");
     AddInput("H0",
              "(Tensor, optional) the initial hidden state is an optional "
              "input. This is a tensor with shape (N x D), where N is the "
-             "batch size, D is the hidden size.");
+             "batch size, D is the hidden size.")
+        .AsDispensable();
     AddInput("C0",
              "(Tensor, optional) the initial cell state is an optional "
              "input. This is a tensor with shape (N x D), where N is the "
-             "batch size. `H0` and `C0` can be NULL but only at the same time");
+             "batch size. `H0` and `C0` can be NULL but only at the same time")
+        .AsDispensable();
     AddInput("Weight",
              "(Tensor) the learnable hidden-hidden weights."
              " - The shape is (D x 4D), where D is the hidden size. "
@@ -109,22 +123,27 @@ class LSTMOpMaker : public framework::OpProtoAndCheckerMaker {
              " - Bias = {b_c, b_i, b_f, b_o}."
              "2. `usePeepholes = True` "
              " - The shape is (1 x 7D). "
-             " - Bias = {b_c, b_i, b_f, b_o, W_ic, W_fc, W_oc}.");
+             " - Bias = {b_c, b_i, b_f, b_o, W_ic, W_fc, W_oc}.")
+        .AsDispensable();
+    AddOutput("Hidden",
+              "(LoDTensor) the hidden state of LSTM operator. "
+              "The shape is (T x D), and lod is the same with the `Input`.");
+    AddOutput("Cell",
+              "(LoDTensor) the cell state of LSTM operator. "
+              "The shape is (T x D), and lod is the same with the `Input`.");
     AddOutput("BatchGate",
               "(LoDTensor) This LoDTensor contains input gate, forget gate "
               "and output gate after the nonlinear computation. This "
               "LoDTensor has the same shape with the reorganized input, which "
-              "was also be called batch input. The LoD size is 2. The first "
+              "is also be called batch input. The LoD size is 2. The first "
               "LoD is the batch offsets and the second LoD contains the "
               "indexes, which denote the position of reorganized sequence "
               "in the raw input.")
         .AsIntermediate();
-    AddOutput("Hidden",
-              "(LoDTensor) the hidden state lod tensor of LSTM operator. "
-              "The shape and lod is the same with the `Input`.");
-    AddOutput("Cell",
-              "(LoDTensor) the cell state lod tensor of LSTM operator. "
-              "The shape and lod is the same with the `Input`.");
+    AddOutput("BatchCellPreAct",
+              "(LoDTensor) This LoDTensor is got in the forward and used "
+              "in the backward.")
+        .AsIntermediate();
     AddAttr<bool>("usePeepholes",
                   "(bool, defalut: True) "
                   "whether to enable diagonal/peephole connections.")
@@ -202,15 +221,37 @@ class LSTMGradOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
 
- protected:
   void InferShape(framework::InferShapeContext* ctx) const override {
-    PADDLE_ENFORCE(ctx->HasInput(framework::GradVarName("Hidden")),
-                   "Input(Hidden@GRAD) should not be null");
-    PADDLE_ENFORCE(ctx->HasInput(framework::GradVarName("Cell")),
-                   "Input(Cell@GRAD) should not be null");
-    ctx->SetOutputDim(framework::GradVarName("Weight"),
-                      ctx->GetInputDim("Weight"));
-    ctx->SetOutputDim(framework::GradVarName("Bias"), ctx->GetInputDim("Bias"));
+    PADDLE_ENFORCE(ctx->HasInput("Input"),
+                   "Input(Input) of LSTM should not be null.");
+    PADDLE_ENFORCE(ctx->HasInput("Hidden"),
+                   "Input(Hidden) of LSTM should not be null.");
+    PADDLE_ENFORCE(ctx->HasInput("Cell"),
+                   "Input(Cell) of LSTM should not be null.");
+
+    PADDLE_ENFORCE(ctx->HasInput("BatchGate"),
+                   "Input(BatchGate) of LSTM should not be null.");
+    PADDLE_ENFORCE(ctx->HasInput("BatchCellPreAct"),
+                   "Input(BatchGate) of LSTM should not be null.");
+
+    auto in_g_name = framework::GradVarName("Input");
+    if (ctx->HasOutput(in_g_name))
+      ctx->SetOutputDim(in_g_name, ctx->GetInputDim("Input"));
+
+    auto w_g_name = framework::GradVarName("Weight");
+    if (ctx->HasOutput(w_g_name))
+      ctx->SetOutputDim(w_g_name, ctx->GetInputDim("Weight"));
+
+    auto b_g_name = framework::GradVarName("Bias");
+    if (ctx->HasOutput(b_g_name))
+      ctx->SetOutputDim(b_g_name, ctx->GetInputDim("Bias"));
+  }
+
+ protected:
+  framework::DataType IndicateDataType(
+      const framework::ExecutionContext& ctx) const override {
+    return framework::ToDataType(
+        ctx.Input<framework::LoDTensor>("Input")->type());
   }
 };
 
diff --git a/paddle/operators/lstm_op.h b/paddle/operators/lstm_op.h
index 0af5694c48fcb4437e3acd422606de013bb2e145..af088b80b4283cf221a1dff74546d73d977fada3 100644
--- a/paddle/operators/lstm_op.h
+++ b/paddle/operators/lstm_op.h
@@ -21,8 +21,9 @@ limitations under the License. */
 namespace paddle {
 namespace operators {
 
-using framework::LoDTensor;
-using framework::Tensor;
+using LoDTensor = framework::LoDTensor;
+using Tensor = framework::Tensor;
+
 template <typename T, int MajorType = Eigen::RowMajor,
           typename IndexType = Eigen::DenseIndex>
 using EigenMatrix = framework::EigenMatrix<T, MajorType, IndexType>;
@@ -31,15 +32,15 @@ template <typename Place, typename T>
 class LSTMKernel : public framework::OpKernel<T> {
  public:
   void Compute(const framework::ExecutionContext& ctx) const override {
-    auto* input = ctx.Input<framework::LoDTensor>("Input");
-    auto* weight = ctx.Input<framework::Tensor>("Weight");
-    auto* bias = ctx.Input<framework::Tensor>("Bias");
+    auto* input = ctx.Input<LoDTensor>("Input");
+    auto* weight = ctx.Input<Tensor>("Weight");
+    auto* bias = ctx.Input<Tensor>("Bias");
 
-    auto* batch_gate = ctx.Output<framework::LoDTensor>("BatchGate");
+    auto* batch_gate = ctx.Output<LoDTensor>("BatchGate");
     batch_gate->mutable_data<T>(ctx.GetPlace());
-    auto* hidden_out = ctx.Output<framework::LoDTensor>("Hidden");
+    auto* hidden_out = ctx.Output<LoDTensor>("Hidden");
     hidden_out->mutable_data<T>(ctx.GetPlace());
-    auto* cell_out = ctx.Output<framework::LoDTensor>("Cell");
+    auto* cell_out = ctx.Output<LoDTensor>("Cell");
     cell_out->mutable_data<T>(ctx.GetPlace());
 
     // Now the function ShareLoD in InferShape is not implemented.
@@ -49,7 +50,8 @@ class LSTMKernel : public framework::OpKernel<T> {
 
     bool is_reverse = ctx.Attr<bool>("isReverse");
     math::LoDTensor2BatchFunctor<Place, T> to_batch;
-    to_batch(ctx.device_context(), *input, *batch_gate, is_reverse);
+    auto& device_ctx = ctx.device_context();
+    to_batch(device_ctx, *input, *batch_gate, true, is_reverse);
 
     auto in_dims = input->dims();
     int frame_size = static_cast<int>(in_dims[1] / 4);
@@ -69,17 +71,26 @@ class LSTMKernel : public framework::OpKernel<T> {
     }
 
     math::LstmMetaValue<T> lstm_value;
-    T* bias_data = const_cast<T*>(bias->data<T>());
-    // the code style in LstmMetaValue will be updated later.
-    lstm_value.checkIg = bias_data + 4 * frame_size;
-    lstm_value.checkFg = lstm_value.checkIg + frame_size;
-    lstm_value.checkOg = lstm_value.checkFg + frame_size;
+    if (bias) {
+      T* bias_data = const_cast<T*>(bias->data<T>());
+      // the code style in LstmMetaValue will be updated later.
+
+      lstm_value.checkIg = bias_data + 4 * frame_size;
+      lstm_value.checkFg = lstm_value.checkIg + frame_size;
+      lstm_value.checkOg = lstm_value.checkFg + frame_size;
+    } else {
+      lstm_value.checkIg = nullptr;
+      lstm_value.checkFg = nullptr;
+      lstm_value.checkOg = nullptr;
+    }
     lstm_value.prevStateValue = nullptr;
 
-    framework::LoDTensor batch_out, batch_cell, batch_cell_pre_act;
-    batch_out.mutable_data<T>(dims, ctx.GetPlace());
+    // Use the local variable as here.
+    LoDTensor batch_hidden, batch_cell;
+    auto* batch_cell_pre_act = ctx.Output<LoDTensor>("BatchCellPreAct");
+    batch_hidden.mutable_data<T>(dims, ctx.GetPlace());
     batch_cell.mutable_data<T>(dims, ctx.GetPlace());
-    batch_cell_pre_act.mutable_data<T>(dims, ctx.GetPlace());
+    batch_cell_pre_act->mutable_data<T>(dims, ctx.GetPlace());
 
     auto batch_starts = batch_gate->lod()[0];
     size_t num_batch = batch_starts.size() - 1;
@@ -92,18 +103,18 @@ class LSTMKernel : public framework::OpKernel<T> {
       int bend = static_cast<int>(batch_starts[n + 1]);
 
       Tensor gate_t = batch_gate->Slice(bstart, bend);
-      Tensor out_t = batch_out.Slice(bstart, bend);
+      Tensor out_t = batch_hidden.Slice(bstart, bend);
       Tensor cell_t = batch_cell.Slice(bstart, bend);
-      Tensor cell_pre_act_t = batch_cell_pre_act.Slice(bstart, bend);
+      Tensor cell_pre_act_t = batch_cell_pre_act->Slice(bstart, bend);
 
       int cur_batch_size = bend - bstart;
 
       if (n != 0) {
         int pre_h_start = static_cast<int>(batch_starts[n - 1]);
         int pre_h_end = pre_h_start + cur_batch_size;
-        auto pre_hidden_t = batch_out.Slice(pre_h_start, pre_h_end);
-        math::matmul<Place, T>(ctx.device_context(), pre_hidden_t, false,
-                               *weight, false, static_cast<T>(1.0), &gate_t,
+        auto pre_hidden_t = batch_hidden.Slice(pre_h_start, pre_h_end);
+        math::matmul<Place, T>(device_ctx, pre_hidden_t, false, *weight, false,
+                               static_cast<T>(1.0), &gate_t,
                                static_cast<T>(1.0));
       }
       // else if : FIXME support the initial hidden and cell
@@ -112,27 +123,186 @@ class LSTMKernel : public framework::OpKernel<T> {
       lstm_value.outputValue = out_t.data<T>();
       lstm_value.stateValue = cell_t.data<T>();
       lstm_value.stateActiveValue = cell_pre_act_t.data<T>();
-      math::LstmUnitFunctor<Place, T>::compute(ctx.device_context(), lstm_value,
+      math::LstmUnitFunctor<Place, T>::compute(device_ctx, lstm_value,
                                                frame_size, cur_batch_size,
                                                gate_act, cell_act, cand_act);
       lstm_value.prevStateValue = lstm_value.stateValue;
     }
 
     math::Batch2LoDTensorFunctor<Place, T> to_seq;
-    batch_out.set_lod(batch_gate->lod());
+    batch_hidden.set_lod(batch_gate->lod());
     // restore the output hidden in LoDTensor from the batch hidden
-    to_seq(ctx.device_context(), batch_out, *hidden_out);
+    to_seq(device_ctx, batch_hidden, *hidden_out);
 
     batch_cell.set_lod(batch_gate->lod());
     // restore the output cell state in LoDTensor from the batch cell
-    to_seq(ctx.device_context(), batch_cell, *cell_out);
+    to_seq(device_ctx, batch_cell, *cell_out);
   }
 };
 
 template <typename Place, typename T>
 class LSTMGradKernel : public framework::OpKernel<T> {
  public:
-  void Compute(const framework::ExecutionContext& ctx) const override {}
+  void Compute(const framework::ExecutionContext& ctx) const override {
+    auto* input = ctx.Input<LoDTensor>("Input");
+    auto* weight = ctx.Input<Tensor>("Weight");
+    auto* bias = ctx.Input<Tensor>("Bias");
+
+    auto* hidden_out = ctx.Input<LoDTensor>("Hidden");
+    auto* cell_out = ctx.Input<LoDTensor>("Cell");
+
+    auto* batch_gate = ctx.Input<LoDTensor>("BatchGate");
+    auto* batch_cell_pre_act = ctx.Input<LoDTensor>("BatchCellPreAct");
+
+    auto* hidden_g = ctx.Input<LoDTensor>(framework::GradVarName("Hidden"));
+
+    auto* in_g = ctx.Output<LoDTensor>(framework::GradVarName("Input"));
+    auto* weight_g = ctx.Output<Tensor>(framework::GradVarName("Weight"));
+    auto* bias_g = ctx.Output<Tensor>(framework::GradVarName("Bias"));
+
+    auto& device_ctx = ctx.device_context();
+    math::SetConstant<Place, T> zero;
+    if (weight_g) {
+      weight_g->mutable_data<T>(ctx.GetPlace());
+      zero(device_ctx, weight_g, static_cast<T>(0.0));
+    }
+
+    auto in_dims = input->dims();
+    auto out_dims = hidden_g->dims();
+    int frame_size = static_cast<int>(in_dims[1] / 4);
+    PADDLE_ENFORCE_EQ(frame_size, out_dims[1]);
+
+    math::LstmMetaValue<T> lstm_value;
+    if (bias) {
+      T* bias_data = const_cast<T*>(bias->data<T>());
+      lstm_value.checkIg = bias_data + 4 * frame_size;
+      lstm_value.checkFg = lstm_value.checkIg + frame_size;
+      lstm_value.checkOg = lstm_value.checkFg + frame_size;
+    } else {
+      lstm_value.checkIg = nullptr;
+      lstm_value.checkFg = nullptr;
+      lstm_value.checkOg = nullptr;
+    }
+
+    math::LstmMetaGrad<T> lstm_grad;
+    if (bias && bias_g) {
+      T* bias_g_data = const_cast<T*>(bias_g->mutable_data<T>(ctx.GetPlace()));
+      zero(device_ctx, bias_g, static_cast<T>(0.0));
+      lstm_grad.checkIgGrad = bias_g_data + 4 * frame_size;
+      lstm_grad.checkFgGrad = lstm_grad.checkIgGrad + frame_size;
+      lstm_grad.checkOgGrad = lstm_grad.checkFgGrad + frame_size;
+    } else {
+      lstm_grad.checkIgGrad = nullptr;
+      lstm_grad.checkFgGrad = nullptr;
+      lstm_grad.checkOgGrad = nullptr;
+    }
+
+    math::LoDTensor2BatchFunctor<Place, T> to_batch;
+
+    // use the local variable as here.
+    LoDTensor batch_hidden;
+    batch_hidden.mutable_data<T>(out_dims, ctx.GetPlace());
+    batch_hidden.set_lod(batch_gate->lod());
+    to_batch(device_ctx, *hidden_out, batch_hidden, false);
+
+    LoDTensor batch_hidden_g;
+    batch_hidden_g.mutable_data<T>(out_dims, ctx.GetPlace());
+    batch_hidden_g.set_lod(batch_gate->lod());
+    to_batch(device_ctx, *hidden_g, batch_hidden_g, false);
+
+    LoDTensor batch_cell;
+    batch_cell.mutable_data<T>(out_dims, ctx.GetPlace());
+    batch_cell.set_lod(batch_gate->lod());
+    to_batch(device_ctx, *cell_out, batch_cell, false);
+
+    LoDTensor batch_cell_g;
+    batch_cell_g.mutable_data<T>(out_dims, ctx.GetPlace());
+    batch_cell_g.set_lod(batch_gate->lod());
+    // TODO(qingqing) support the case output cell has gradient.
+    // to_batch(device_ctx, *cell_g, batch_cell_g, false);
+    zero(device_ctx, &batch_cell_g, static_cast<T>(0.0));
+
+    LoDTensor batch_gate_g;
+    batch_gate_g.mutable_data<T>(batch_gate->dims(), ctx.GetPlace());
+    batch_gate_g.set_lod(batch_gate->lod());
+
+    auto gate_act = ctx.Attr<std::string>("gateActivation");
+    auto cell_act = ctx.Attr<std::string>("cellActivation");
+    auto cand_act = ctx.Attr<std::string>("candidateActivation");
+
+    auto batch_starts = batch_gate->lod()[0];
+    size_t num_batch = batch_starts.size() - 1;
+    for (int n = static_cast<int>(num_batch) - 1; n >= 0; n--) {
+      int bstart = static_cast<int>(batch_starts[n]);
+      int bend = static_cast<int>(batch_starts[n + 1]);
+
+      Tensor gate = batch_gate->Slice(bstart, bend);
+      Tensor cell = batch_cell.Slice(bstart, bend);
+      Tensor cell_pre_act = batch_cell_pre_act->Slice(bstart, bend);
+      lstm_value.gateValue = gate.data<T>();
+      lstm_value.stateValue = cell.data<T>();
+      lstm_value.stateActiveValue = cell_pre_act.data<T>();
+
+      Tensor out_g = batch_hidden_g.Slice(bstart, bend);
+      Tensor gate_g = batch_gate_g.Slice(bstart, bend);
+      Tensor cell_g = batch_cell_g.Slice(bstart, bend);
+      lstm_grad.stateGrad = cell_g.data<T>();
+      lstm_grad.gateGrad = gate_g.data<T>();
+      lstm_grad.outputGrad = out_g.data<T>();
+
+      if (n) {
+        int bstart_pre = static_cast<int>(batch_starts[n - 1]);
+        Tensor cell_pre = batch_cell.Slice(bstart_pre, bstart);
+        Tensor cell_pre_g = batch_cell_g.Slice(bstart_pre, bstart);
+        lstm_value.prevStateValue = cell_pre.data<T>();
+        lstm_grad.prevStateGrad = cell_pre_g.data<T>();
+      } else {
+        lstm_value.prevStateValue = nullptr;
+        lstm_grad.prevStateGrad = nullptr;
+      }
+
+      int cur_batch_size = bend - bstart;
+      math::LstmUnitGradFunctor<Place, T>::compute(
+          device_ctx, lstm_value, lstm_grad, frame_size, cur_batch_size,
+          gate_act, cell_act, cand_act);
+
+      if (n != 0) {
+        int pre_h_start = static_cast<int>(batch_starts[n - 1]);
+        int pre_h_end = pre_h_start + cur_batch_size;
+        auto pre_hidden_g = batch_hidden_g.Slice(pre_h_start, pre_h_end);
+        math::matmul<Place, T>(device_ctx, gate_g, false, *weight, true,
+                               static_cast<T>(1.0), &pre_hidden_g,
+                               static_cast<T>(1.0));
+        if (weight_g) {
+          /* backward weight */
+          auto pre_hidden = batch_hidden.Slice(pre_h_start, pre_h_end);
+          math::matmul<Place, T>(device_ctx, pre_hidden, true, gate_g, false,
+                                 static_cast<T>(1.0), weight_g,
+                                 static_cast<T>(1.0));
+        }
+      }
+    }
+
+    math::Batch2LoDTensorFunctor<Place, T> to_seq;
+    if (in_g) {
+      /* backward data */
+      in_g->mutable_data<T>(ctx.GetPlace());
+      to_seq(device_ctx, batch_gate_g, *in_g);
+    }
+    if (bias && bias_g) {
+      /* backward bias */
+      int m = static_cast<int>(batch_gate_g.dims()[0]);
+      int n = static_cast<int>(batch_gate_g.dims()[1]);
+
+      Tensor ones;
+      ones.mutable_data<T>({m}, ctx.GetPlace());
+      math::SetConstant<Place, T> set;
+      set(device_ctx, &ones, static_cast<T>(1.0));
+
+      math::gemv<Place, T>(device_ctx, true, m, n, 1., batch_gate_g.data<T>(),
+                           ones.data<T>(), 0., bias_g->data<T>());
+    }
+  }
 };
 
 }  // namespace operators
diff --git a/paddle/operators/math/detail/lstm_cpu_kernel.h b/paddle/operators/math/detail/lstm_cpu_kernel.h
index 74d51d7bc9b91f4c8088384d77183131f57aafab..d0ed55ea168bc3e701c421c51d662c646e475351 100644
--- a/paddle/operators/math/detail/lstm_cpu_kernel.h
+++ b/paddle/operators/math/detail/lstm_cpu_kernel.h
@@ -26,10 +26,7 @@ namespace detail {
 
 template <class T, class Op>
 void naive_lstm_forward_one_sequence(Op op, LstmMetaValue<T> value,
-                                     int frameSize,
-                                     activation_mode_t active_node,
-                                     activation_mode_t active_gate,
-                                     activation_mode_t active_state) {
+                                     int frameSize) {
   T rValueIn;
   T rValueIg;
   T rValueFg;
@@ -60,10 +57,8 @@ void naive_lstm_forward_one_sequence(Op op, LstmMetaValue<T> value,
       rPrevState = value.prevStateValue[i];
     }
 
-    hppl::cpu::ForwardAct<T> act;
     op(rValueIn, rValueIg, rValueFg, rValueOg, rPrevState, rState, rStateAtv,
-       rOut, rCheckI, rCheckF, rCheckO, act(active_node), act(active_gate),
-       act(active_state));
+       rOut, rCheckI, rCheckF, rCheckO);
 
     valueIn[i] = rValueIn;
     valueIg[i] = rValueIg;
@@ -77,10 +72,7 @@ void naive_lstm_forward_one_sequence(Op op, LstmMetaValue<T> value,
 
 template <class T, class Op>
 void naive_lstm_backward_one_sequence(Op op, LstmMetaValue<T> value,
-                                      LstmMetaGrad<T> grad, int frameSize,
-                                      activation_mode_t active_node,
-                                      activation_mode_t active_gate,
-                                      activation_mode_t active_state) {
+                                      LstmMetaGrad<T> grad, int frameSize) {
   T rValueIn;
   T rValueIg;
   T rValueFg;
@@ -127,11 +119,10 @@ void naive_lstm_backward_one_sequence(Op op, LstmMetaValue<T> value,
       rPrevState = value.prevStateValue[i];
     }
 
-    hppl::cpu::BackwardAct<T> act;
     op(rValueIn, rValueIg, rValueFg, rValueOg, rGradIn, rGradIg, rGradFg,
        rGradOg, rPrevState, rPrevStateGrad, rState, rStateGrad, rStateAtv,
        rOutputGrad, rCheckI, rCheckF, rCheckO, rCheckIGrad, rCheckFGrad,
-       rCheckOGrad, act(active_node), act(active_gate), act(active_state));
+       rCheckOGrad);
 
     gradIn[i] = rGradIn;
     gradIg[i] = rGradIg;
@@ -283,8 +274,7 @@ void cpu_lstm_forward(Op op, LstmMetaValue<T> value, int frameSize,
     avx_lstm_forward_one_sequence<T>(op, value, frameSize, active_node,
                                      active_gate, active_state);
   } else {
-    naive_lstm_forward_one_sequence<T>(op, value, frameSize, active_node,
-                                       active_gate, active_state);
+    naive_lstm_forward_one_sequence<T>(op, value, frameSize);
   }
 }
 
@@ -297,8 +287,7 @@ void cpu_lstm_backward(Op op, LstmMetaValue<T> value, LstmMetaGrad<T> grad,
     avx_lstm_backward_one_sequence<T>(op, value, grad, frameSize, active_node,
                                       active_gate, active_state);
   } else {
-    naive_lstm_backward_one_sequence<T>(op, value, grad, frameSize, active_node,
-                                        active_gate, active_state);
+    naive_lstm_backward_one_sequence<T>(op, value, grad, frameSize);
   }
 }
 
diff --git a/paddle/operators/math/detail/lstm_gpu_kernel.h b/paddle/operators/math/detail/lstm_gpu_kernel.h
index 9573eaefb6a9d678ef70f2e2bffdc6a3011b21ea..c06f164f84a92d31f89901e2656bdb8e69c533b7 100644
--- a/paddle/operators/math/detail/lstm_gpu_kernel.h
+++ b/paddle/operators/math/detail/lstm_gpu_kernel.h
@@ -32,9 +32,7 @@ namespace detail {
  */
 template <class T, class Op, bool isBatch>
 __global__ void KeLstmForward(Op op, LstmMetaValue<T> value, int frameSize,
-                              int batchSize, activation_mode_t active_node,
-                              activation_mode_t active_gate,
-                              activation_mode_t active_state) {
+                              int batchSize) {
   const int frameIdx = blockIdx.x * blockDim.x + threadIdx.x;
   if (frameIdx >= frameSize) return;
 
@@ -70,10 +68,8 @@ __global__ void KeLstmForward(Op op, LstmMetaValue<T> value, int frameSize,
     rPrevState = value.prevStateValue[frameIdx];
   }
 
-  hppl::gpu::ForwardAct<T> act;
   op(rValueIn, rValueIg, rValueFg, rValueOg, rPrevState, rState, rStateAtv,
-     rOut, rCheckI, rCheckF, rCheckO, act(active_node), act(active_gate),
-     act(active_state));
+     rOut, rCheckI, rCheckF, rCheckO);
 
   value.gateValue[frameIdx] = rValueIn;
   value.gateValue[frameIdx + frameSize] = rValueIg;
@@ -92,9 +88,7 @@ __global__ void KeLstmForward(Op op, LstmMetaValue<T> value, int frameSize,
 template <class T, class Op, bool isBatch>
 __global__ void KeLstmBackward(Op op, LstmMetaValue<T> value,
                                LstmMetaGrad<T> grad, int frameSize,
-                               int batchSize, activation_mode_t active_node,
-                               activation_mode_t active_gate,
-                               activation_mode_t active_state) {
+                               int batchSize) {
   const int frameIdx = blockIdx.x * blockDim.x + threadIdx.x;
   if (frameIdx >= frameSize) return;
 
@@ -145,11 +139,9 @@ __global__ void KeLstmBackward(Op op, LstmMetaValue<T> value,
     rPrevState = value.prevStateValue[frameIdx];
   }
 
-  hppl::gpu::BackwardAct<T> act;
   op(rValueIn, rValueIg, rValueFg, rValueOg, rGradIn, rGradIg, rGradFg, rGradOg,
      rPrevState, rPrevStateGrad, rState, rStateGrad, rStateAtv, rOutputGrad,
-     rCheckI, rCheckF, rCheckO, rCheckIGrad, rCheckFGrad, rCheckOGrad,
-     act(active_node), act(active_gate), act(active_state));
+     rCheckI, rCheckF, rCheckO, rCheckIGrad, rCheckFGrad, rCheckOGrad);
 
   grad.gateGrad[frameIdx] = rGradIn;
   grad.gateGrad[frameIdx + frameSize] = rGradIg;
@@ -205,13 +197,11 @@ void gpu_lstm_forward(const platform::DeviceContext& context, Op op,
   if (batchSize == 1) {
     KeLstmForward<T, Op,
                   /* isBatch= */ false><<<grid, threads, 0, stream>>>(
-        op, value, frameSize, batchSize, active_node, active_gate,
-        active_state);
+        op, value, frameSize, batchSize);
   } else {
     KeLstmForward<T, Op,
                   /* isBatch= */ true><<<grid, threads, 0, stream>>>(
-        op, value, frameSize, batchSize, active_node, active_gate,
-        active_state);
+        op, value, frameSize, batchSize);
   }
 }
 
@@ -240,13 +230,11 @@ void gpu_lstm_backward(const platform::DeviceContext& context, Op op,
   if (batchSize == 1) {
     KeLstmBackward<T, Op,
                    /* isBatch= */ false><<<grid, threads, 0, stream>>>(
-        op, value, grad, frameSize, batchSize, active_node, active_gate,
-        active_state);
+        op, value, grad, frameSize, batchSize);
   } else {
     KeLstmBackward<T, Op,
                    /* isBatch= */ true><<<grid, threads, 0, stream>>>(
-        op, value, grad, frameSize, batchSize, active_node, active_gate,
-        active_state);
+        op, value, grad, frameSize, batchSize);
   }
 }
 
diff --git a/paddle/operators/math/detail/lstm_kernel.h b/paddle/operators/math/detail/lstm_kernel.h
index 6f3ead2397d5131b4468d0ad288513cedb289594..461039a4d51a2b9b8a55d3101bdf4c511907597e 100644
--- a/paddle/operators/math/detail/lstm_kernel.h
+++ b/paddle/operators/math/detail/lstm_kernel.h
@@ -24,15 +24,29 @@ namespace detail {
 
 namespace forward {
 
+template <typename T>
+DEVICE inline T sigmoid(const T a) {
+  const T min = SIGMOID_THRESHOLD_MIN;
+  const T max = SIGMOID_THRESHOLD_MAX;
+  T tmp = (a < min) ? min : ((a > max) ? max : a);
+  return static_cast<T>(1.0) / (static_cast<T>(1.0) + exp(-tmp));
+}
+
+template <typename T>
+DEVICE inline T tanh(const T a) {
+  T tmp = -2.0 * a;
+  tmp = (tmp > EXP_MAX_INPUT) ? EXP_MAX_INPUT : tmp;
+  return (2.0 / (1.0 + exp(tmp))) - 1.0;
+}
+
 template <class T>
 class lstm {
  public:
   HOSTDEVICE void operator()(T &valueIn, T &valueIg, T &valueFg, T &valueOg,
                              T &prevState, T &state, T &stateAtv, T &output,
-                             T &checkI, T &checkF, T &checkO,
-                             typename hppl::ForwardActType<T>::type actInput,
-                             typename hppl::ForwardActType<T>::type actGate,
-                             typename hppl::ForwardActType<T>::type actState) {
+                             T &checkI, T &checkF, T &checkO) {
+#if 0
+    // TODO(qingqing) support to activation speficed by users
     valueIn = actInput(valueIn);
     valueIg = actGate(valueIg + prevState * checkI);
     valueFg = actGate(valueFg + prevState * checkF);
@@ -40,6 +54,15 @@ class lstm {
     valueOg = actGate(valueOg + state * checkO);
     stateAtv = actState(state);
     output = valueOg * stateAtv;
+#else
+    valueIn = tanh<T>(valueIn);
+    valueIg = sigmoid<T>(valueIg + prevState * checkI);
+    valueFg = sigmoid<T>(valueFg + prevState * checkF);
+    state = valueIn * valueIg + prevState * valueFg;
+    valueOg = sigmoid<T>(valueOg + state * checkO);
+    stateAtv = tanh<T>(state);
+    output = valueOg * stateAtv;
+#endif
   }
 #ifndef __NVCC__
 #ifndef __AVX__  // If not compiled with AVX instructs. Disable AVX by default
@@ -72,6 +95,16 @@ class lstm {
 
 namespace backward {
 
+template <typename T>
+DEVICE inline T sigmoid(const T a, const T b) {
+  return a * b * (1.0 - b);
+}
+
+template <typename T>
+DEVICE inline T tanh(const T a, const T b) {
+  return a * (1.0 - b * b);
+}
+
 template <class T>
 class lstm {
  public:
@@ -80,10 +113,9 @@ class lstm {
                              T &prevState, T &prevStateGrad, T &state,
                              T &stateGrad, T &stateAtv, T &outputGrad,
                              T &checkI, T &checkF, T &checkO, T &checkIGrad,
-                             T &checkFGrad, T &checkOGrad,
-                             typename hppl::BackwardActType<T>::type actInput,
-                             typename hppl::BackwardActType<T>::type actGate,
-                             typename hppl::BackwardActType<T>::type actState) {
+                             T &checkFGrad, T &checkOGrad) {
+#if 0
+    // TODO(qingqing) support to activation speficed by users
     gradOg = actGate(outputGrad * stateAtv, valueOg);
     stateGrad += actState(outputGrad * valueOg, stateAtv) + gradOg * checkO;
     gradIn = actInput(stateGrad * valueIg, valueIn);
@@ -93,6 +125,17 @@ class lstm {
     checkIGrad = gradIg * prevState;
     checkFGrad = gradFg * prevState;
     checkOGrad = gradOg * state;
+#else
+    gradOg = sigmoid<T>(outputGrad * stateAtv, valueOg);
+    stateGrad += tanh<T>(outputGrad * valueOg, stateAtv) + gradOg * checkO;
+    gradIn = tanh<T>(stateGrad * valueIg, valueIn);
+    gradIg = sigmoid<T>(stateGrad * valueIn, valueIg);
+    gradFg = sigmoid<T>(stateGrad * prevState, valueFg);
+    prevStateGrad = gradIg * checkI + gradFg * checkF + stateGrad * valueFg;
+    checkIGrad = gradIg * prevState;
+    checkFGrad = gradFg * prevState;
+    checkOGrad = gradOg * state;
+#endif
   }
 #ifndef __NVCC__
 #ifndef __AVX__  // If not compiled with AVX instructs. Disable AVX by default
diff --git a/paddle/operators/math/math_function.cc b/paddle/operators/math/math_function.cc
index aad1357598c629a4edfe0ad9b23f0241093a2522..2a9c09a0f16b71473e21765ab9253eb7b8bcf28c 100644
--- a/paddle/operators/math/math_function.cc
+++ b/paddle/operators/math/math_function.cc
@@ -211,6 +211,26 @@ void batched_gemm<platform::CPUPlace, double>(
 }
 #endif
 
+template <>
+void gemv<platform::CPUPlace, float>(const platform::DeviceContext& context,
+                                     const bool trans_a, const int M,
+                                     const int N, const float alpha,
+                                     const float* A, const float* B,
+                                     const float beta, float* C) {
+  CBLAS_TRANSPOSE transA = (trans_a == false) ? CblasNoTrans : CblasTrans;
+  cblas_sgemv(CblasRowMajor, transA, M, N, alpha, A, N, B, 1, beta, C, 1);
+}
+
+template <>
+void gemv<platform::CPUPlace, double>(const platform::DeviceContext& context,
+                                      const bool trans_a, const int M,
+                                      const int N, const double alpha,
+                                      const double* A, const double* B,
+                                      const double beta, double* C) {
+  CBLAS_TRANSPOSE transA = (trans_a == false) ? CblasNoTrans : CblasTrans;
+  cblas_dgemv(CblasRowMajor, transA, M, N, alpha, A, N, B, 1, beta, C, 1);
+}
+
 template struct SetConstant<platform::CPUPlace, float>;
 
 }  // namespace math
diff --git a/paddle/operators/math/math_function.cu b/paddle/operators/math/math_function.cu
index 5583683c6e12b88ba81015aef9161913de261ef2..e6fd8bf235b8539702ca2c5b39e305cb1becf5cb 100644
--- a/paddle/operators/math/math_function.cu
+++ b/paddle/operators/math/math_function.cu
@@ -203,6 +203,33 @@ void batched_gemm<platform::GPUPlace, double>(
       &beta, C, ldc, strideC, batchCount));
 }
 
+template <>
+void gemv<platform::GPUPlace, float>(const platform::DeviceContext& context,
+                                     const bool trans_a, const int M,
+                                     const int N, const float alpha,
+                                     const float* A, const float* B,
+                                     const float beta, float* C) {
+  cublasOperation_t cuTransA = (trans_a == false) ? CUBLAS_OP_T : CUBLAS_OP_N;
+
+  PADDLE_ENFORCE(platform::dynload::cublasSgemv(
+      reinterpret_cast<const platform::CUDADeviceContext&>(context)
+          .cublas_handle(),
+      cuTransA, N, M, &alpha, A, N, B, 1, &beta, C, 1));
+}
+
+template <>
+void gemv<platform::GPUPlace, double>(const platform::DeviceContext& context,
+                                      const bool trans_a, const int M,
+                                      const int N, const double alpha,
+                                      const double* A, const double* B,
+                                      const double beta, double* C) {
+  cublasOperation_t cuTransA = (trans_a == false) ? CUBLAS_OP_T : CUBLAS_OP_N;
+  PADDLE_ENFORCE(platform::dynload::cublasDgemv(
+      reinterpret_cast<const platform::CUDADeviceContext&>(context)
+          .cublas_handle(),
+      cuTransA, N, M, &alpha, A, N, B, 1, &beta, C, 1));
+}
+
 template struct SetConstant<platform::GPUPlace, float>;
 
 }  // namespace math
diff --git a/paddle/operators/math/math_function.h b/paddle/operators/math/math_function.h
index 9777ebfd156709a370be2cb4ba0077ac7c6735fb..3bb5aa0332c7e2a63d20b91893c03ccd468dd863 100644
--- a/paddle/operators/math/math_function.h
+++ b/paddle/operators/math/math_function.h
@@ -93,6 +93,11 @@ void batched_gemm(const platform::DeviceContext& context,
                   const T* A, const T* B, const T beta, T* C,
                   const int batchCount, const int strideA, const int strideB);
 
+template <typename Place, typename T>
+void gemv(const platform::DeviceContext& context, const bool trans_a,
+          const int M, const int N, const T alpha, const T* A, const T* B,
+          const T beta, T* C);
+
 template <typename Place, typename T>
 struct SetConstant {
   void operator()(const platform::DeviceContext& context,
diff --git a/paddle/operators/math/math_function_test.cc b/paddle/operators/math/math_function_test.cc
index 3b9f92e7ae5f34dd0fb1ba8fb0c67ff5ae1628c4..7d84ad9aadb2892db0d0ee9cab428dc5036614e9 100644
--- a/paddle/operators/math/math_function_test.cc
+++ b/paddle/operators/math/math_function_test.cc
@@ -89,3 +89,53 @@ TEST(math_function, zero) {
   EXPECT_EQ(t[2], 1);
   EXPECT_EQ(t[3], 1);
 }
+
+template <typename T>
+void GemvTest(int m, int n, bool trans) {
+  paddle::framework::Tensor mat_a;
+  paddle::framework::Tensor vec_b;
+  paddle::framework::Tensor vec_c;
+  auto* cpu_place = new paddle::platform::CPUPlace();
+  int b_num = trans ? m : n;
+  int c_num = trans ? n : m;
+
+  T* data_a = mat_a.mutable_data<T>({m, n}, *cpu_place);
+  T* data_b = vec_b.mutable_data<T>({b_num}, *cpu_place);
+  T* data_c = vec_c.mutable_data<T>({c_num}, *cpu_place);
+  for (int i = 0; i < mat_a.numel(); ++i) {
+    data_a[i] = static_cast<T>(i);
+  }
+  for (int i = 0; i < vec_b.numel(); ++i) {
+    data_b[i] = static_cast<T>(i);
+  }
+
+  paddle::platform::CPUDeviceContext context(*cpu_place);
+  paddle::operators::math::gemv<paddle::platform::CPUPlace, T>(
+      context, trans, static_cast<int>(m), static_cast<int>(n), 1., data_a,
+      data_b, 0., data_c);
+
+  if (!trans) {
+    for (int i = 0; i < m; ++i) {
+      T sum = 0.0;
+      for (int j = 0; j < n; ++j) {
+        sum += data_a[i * n + j] * data_b[j];
+      }
+      ASSERT_FLOAT_EQ(data_c[i], sum);
+    }
+  } else {
+    for (int i = 0; i < n; ++i) {
+      T sum = 0.0;
+      for (int j = 0; j < m; ++j) {
+        sum += data_a[j * n + i] * data_b[j];
+      }
+      ASSERT_FLOAT_EQ(data_c[i], sum);
+    }
+  }
+}
+
+TEST(math_function, gemv) {
+  GemvTest<float>(3, 13, false);
+  GemvTest<double>(4, 5, false);
+  GemvTest<float>(12, 7, true);
+  GemvTest<double>(7, 9, true);
+}
diff --git a/paddle/operators/math/math_function_test.cu b/paddle/operators/math/math_function_test.cu
index 8b22c71552a65044cbd02441fb35c1eafe0173dc..780d17ffc6539c5f4d67ebab5476d6f646840b41 100644
--- a/paddle/operators/math/math_function_test.cu
+++ b/paddle/operators/math/math_function_test.cu
@@ -177,3 +177,65 @@ TEST(math_function, gemm_trans_cublas) {
   EXPECT_EQ(input3_ptr[7], 99);
   delete gpu_place;
 }
+
+template <typename T>
+void GemvTest(int m, int n, bool trans) {
+  paddle::framework::Tensor mat_a;
+  paddle::framework::Tensor vec_b;
+  paddle::framework::Tensor vec_c;
+  auto* cpu_place = new paddle::platform::CPUPlace();
+
+  T* data_a = mat_a.mutable_data<T>({m, n}, *cpu_place);
+  T* data_b = vec_b.mutable_data<T>({trans ? m : n}, *cpu_place);
+  T* data_c = vec_c.mutable_data<T>({trans ? n : m}, *cpu_place);
+
+  auto* gpu_place = new paddle::platform::GPUPlace(0);
+  paddle::framework::Tensor g_mat_a;
+  paddle::framework::Tensor g_vec_b;
+  paddle::framework::Tensor g_vec_c;
+  T* g_data_a = g_mat_a.mutable_data<T>(mat_a.dims(), *gpu_place);
+  T* g_data_b = g_vec_b.mutable_data<T>(vec_b.dims(), *gpu_place);
+  T* g_data_c = g_vec_c.mutable_data<T>(vec_c.dims(), *gpu_place);
+
+  for (int i = 0; i < mat_a.numel(); ++i) {
+    data_a[i] = static_cast<T>(i);
+  }
+  for (int i = 0; i < vec_b.numel(); ++i) {
+    data_b[i] = static_cast<T>(i);
+  }
+
+  paddle::platform::CUDADeviceContext context(*gpu_place);
+  g_mat_a.CopyFrom(mat_a, *gpu_place, context);
+  g_vec_b.CopyFrom(vec_b, *gpu_place, context);
+
+  paddle::operators::math::gemv<paddle::platform::GPUPlace, T>(
+      context, trans, static_cast<int>(m), static_cast<int>(n), 1., g_data_a,
+      g_data_b, 0., g_data_c);
+
+  vec_c.CopyFrom(g_vec_c, paddle::platform::CPUPlace(), context);
+
+  if (!trans) {
+    for (int i = 0; i < m; ++i) {
+      T sum = 0.0;
+      for (int j = 0; j < n; ++j) {
+        sum += data_a[i * n + j] * data_b[j];
+      }
+      ASSERT_FLOAT_EQ(data_c[i], sum);
+    }
+  } else {
+    for (int i = 0; i < n; ++i) {
+      T sum = 0.0;
+      for (int j = 0; j < m; ++j) {
+        sum += data_a[j * n + i] * data_b[j];
+      }
+      ASSERT_FLOAT_EQ(data_c[i], sum);
+    }
+  }
+}
+
+TEST(math_function, gemv) {
+  GemvTest<float>(3, 13, false);
+  GemvTest<double>(3, 13, false);
+  GemvTest<float>(3, 13, true);
+  GemvTest<double>(3, 13, true);
+}
diff --git a/paddle/operators/math/sequence2batch.h b/paddle/operators/math/sequence2batch.h
index 03cd018e46e90c9bbe689c9686377e0e998ee513..b1ba35a6d4a891e9152ac2088bc76e3969be6405 100644
--- a/paddle/operators/math/sequence2batch.h
+++ b/paddle/operators/math/sequence2batch.h
@@ -53,7 +53,18 @@ class LoDTensor2BatchFunctor {
  public:
   void operator()(const platform::DeviceContext& context,
                   const framework::LoDTensor& lod_tensor,
-                  framework::LoDTensor& batch, bool is_reverse) const {
+                  framework::LoDTensor& batch, bool is_cal_batch_lod,
+                  bool is_reverse = false) const {
+    if (!is_cal_batch_lod) {
+      auto lods = batch.lod();
+      PADDLE_ENFORCE_EQ(lods.size(), 2UL);
+      PADDLE_ENFORCE_EQ(lods[1].size(),
+                        static_cast<size_t>(lod_tensor.dims()[0]));
+      CopyMatrixRowsFunctor<Place, T> to_batch;
+      to_batch(context, lod_tensor, lods[1].data(), batch, true);
+      return;
+    }
+
     auto lods = lod_tensor.lod();
     PADDLE_ENFORCE_EQ(lods.size(), 1UL, "Only support one level sequence now.");
     auto lod = lods[0];
@@ -101,10 +112,10 @@ class LoDTensor2BatchFunctor {
     size_t* batch_starts = batch_lods[0].data();
     size_t* seq2batch_idx = batch_lods[1].data();
     batch_starts[0] = 0;
-    for (size_t n = 0; n < num_batch; n++) {
+    for (int n = 0; n < num_batch; n++) {
       auto batch_id = static_cast<int>(batch_starts[n]);
       for (size_t i = 0; i < seq_info.size(); ++i) {
-        size_t seq_len = seq_info[i].length;
+        int seq_len = seq_info[i].length;
         int start = seq_info[i].start;
         if (n < seq_len) {
           seq2batch_idx[batch_id] =
@@ -132,11 +143,8 @@ class Batch2LoDTensorFunctor {
     auto in_lod = batch.lod();
     PADDLE_ENFORCE_EQ(in_lod.size(), 2UL,
                       "The LoD size of input `batch` should be 2.");
-    auto out_lod = lod_tensor.lod()[0];
-    auto num = out_lod[out_lod.size() - 1];
-    PADDLE_ENFORCE_EQ(num, lod_tensor.dims()[0]);
-    PADDLE_ENFORCE_EQ(num, in_lod[1].size());
-    PADDLE_ENFORCE_EQ(num, batch.dims()[0]);
+    PADDLE_ENFORCE_EQ(in_lod[1].size(),
+                      static_cast<size_t>(lod_tensor.dims()[0]));
     CopyMatrixRowsFunctor<Place, T> to_seq;
     size_t* index = in_lod[1].data();
     to_seq(context, batch, index, lod_tensor, false);
diff --git a/python/paddle/v2/framework/tests/test_lstm_op.py b/python/paddle/v2/framework/tests/test_lstm_op.py
index 93a4e450e916716e27573d192bace73f271733de..ff75160083f2936dd653a8396254bf16d1752ffa 100644
--- a/python/paddle/v2/framework/tests/test_lstm_op.py
+++ b/python/paddle/v2/framework/tests/test_lstm_op.py
@@ -52,7 +52,7 @@ def lstm(
         g = np.dot(h_pre, w_h)  # 1 x 4D
         g = g + x
         g = np.reshape(g, (1, g.size))
-        c_tmp, g_i, g_f, g_o = np.split(g, 4, axis=1)
+        c, g_i, g_f, g_o = np.split(g, 4, axis=1)
         if w_c is None:
             g_i = act_gate(g_i)  # 1 x D
             g_f = act_gate(g_f)  # 1 x D
@@ -60,7 +60,7 @@ def lstm(
             w_ic, w_fc, w_oc = np.split(w_c, 3, axis=1)
             g_i = act_gate(g_i + w_ic * c_pre)  # 1 x D
             g_f = act_gate(g_f + w_fc * c_pre)  # 1 x D
-        c = g_f * c_pre + g_i * act_cand(c_tmp)  # 1 x D
+        c = g_f * c_pre + g_i * act_cand(c)  # 1 x D
 
         if w_c is None:
             g_o = act_gate(g_o)  # 1 x D
@@ -68,8 +68,7 @@ def lstm(
             _, _, w_oc = np.split(w_c, 3, axis=1)
             g_o = act_gate(g_o + w_oc * c)  # 1 x D
         h = g_o * act_cell(c)
-        bg = np.concatenate((act_cand(c_tmp), g_i, g_f, g_o), axis=1)
-        return h, c, bg
+        return h, c
 
     def _reverse(x, lod):
         y = np.zeros_like(x)
@@ -82,7 +81,6 @@ def lstm(
     batch_size = len(offset) - 1
     hidden = []
     cell = []
-    gate = []
     input = _reverse(input, offset) if is_reverse else input
     if w_b is not None:
         input = input + np.tile(w_b, (offset[-1], 1))
@@ -94,96 +92,109 @@ def lstm(
         c_pre = c0[i]  # 1 x D
         for j in range(seq_len):
             # compute one step
-            h_pre, c_pre, g_pre = _step(x[j], w_h, w_c, h_pre, c_pre, act_gate,
-                                        act_cell, act_cand)
+            h_pre, c_pre = _step(x[j], w_h, w_c, h_pre, c_pre, act_gate,
+                                 act_cell, act_cand)
             hidden.append(h_pre.flatten())
             cell.append(c_pre.flatten())
-            gate.append(g_pre.flatten())
 
-    hidden = np.array(hidden).astype("float64")
-    cell = np.array(cell).astype("float64")
-    gate = np.array(gate).astype("float64")
+    hidden = np.array(hidden).astype('float64')
+    cell = np.array(cell).astype('float64')
 
     hidden = _reverse(hidden, offset) if is_reverse else hidden
     cell = _reverse(cell, offset) if is_reverse else cell
 
-    assert gate.shape == input.shape
     assert hidden.shape == (input.shape[0], input.shape[1] / 4)
     assert cell.shape == (input.shape[0], input.shape[1] / 4)
-    return hidden, cell, gate
+    return hidden, cell
 
 
 class TestLstmOp(OpTest):
-    def set_data(self):
-        self.lod = [[0, 2, 6, 9]]
-        self.D = 64
-        self.sort_idx = [2, 6, 0, 3, 7, 1, 4, 8, 5]
+    def set_argument(self):
+        self.lod = [[0, 2, 5, 7]]
+        self.D = 16
 
-        self.act_gate = "sigmoid"
-        self.act_cell = "tanh"
-        self.act_cand = "tanh"
+        self.act_gate = 'sigmoid'
+        self.act_cell = 'tanh'
+        self.act_cand = 'tanh'
 
+        self.has_initial_state = True
         self.is_reverse = False
 
     def setUp(self):
-        self.set_data()
-        self.op_type = "lstm"
+        self.set_argument()
+        self.op_type = 'lstm'
 
         T = self.lod[0][-1]
         N = len(self.lod[0]) - 1
 
-        x = np.random.normal(size=(T, 4 * self.D)).astype("float64")
-        h0 = np.zeros((N, self.D)).astype("float64")
-        c0 = np.zeros((N, self.D)).astype("float64")
-        w = np.random.normal(size=(self.D, 4 * self.D)).astype("float64")
-        b = np.random.normal(size=(1, 7 * self.D)).astype("float64")
+        x = np.random.normal(size=(T, 4 * self.D)).astype('float64')
+        h0 = np.zeros((N, self.D)).astype('float64')
+        c0 = np.zeros((N, self.D)).astype('float64')
+        w = np.random.normal(size=(self.D, 4 * self.D)).astype('float64')
+        b = np.random.normal(size=(1, 7 * self.D)).astype('float64')
 
         w_b = b[:, 0:4 * self.D]
         w_c = b[:, 4 * self.D:]
-        h, c, g = lstm(x, self.lod, h0, c0, w, w_b, w_c, self.is_reverse,
-                       ACTVATION[self.act_gate], ACTVATION[self.act_cell],
-                       ACTVATION[self.act_cand])
-
-        g_sort = np.zeros_like(x)
-        for i, j in enumerate(self.sort_idx):
-            g_sort[i, :] = g[j, :]
-
-        self.inputs = {
-            'Input': (x, self.lod),
-            'H0': h0,
-            'C0': c0,
-            'Weight': w,
-            'Bias': b
-        }
+        h, c = lstm(x, self.lod, h0, c0, w, w_b, w_c, self.is_reverse,
+                    ACTVATION[self.act_gate], ACTVATION[self.act_cell],
+                    ACTVATION[self.act_cand])
+
+        self.inputs = {'Input': (x, self.lod), 'Weight': w, 'Bias': b}
+        if self.has_initial_state:
+            self.inputs['H0'] = h0
+            self.inputs['C0'] = c0
+
         self.outputs = {
             'Hidden': (h, self.lod),
             'Cell': (c, self.lod),
-            'BatchGate': g_sort
         }
         self.attrs = {
             'usePeepholes': True,
             'isReverse': self.is_reverse,
-            'gateActivation': 'sigmoid',
-            'cellActivation': 'tanh',
-            'candidateActivation': 'tanh'
+            'gateActivation': self.act_gate,
+            'cellActivation': self.act_cell,
+            'candidateActivation': self.act_cand
         }
 
     def test_check_output(self):
-        self.check_output()
+        self.check_output(atol=1e-8)
+
+    #TODO(qingqing) add more unit testing case
+    def test_check_grad(self):
+        # TODO(qingqing) remove folowing lines after the check_grad is refined.
+        N = len(self.lod[0]) - 1
+        self.outputs['BatchGate'] = np.zeros((N, 4 * self.D)).astype('float64')
+        self.outputs['BatchCellPreAct'] = np.zeros(
+            (N, self.D)).astype('float64')
+        self.check_grad(
+            ['Input', 'Weight', 'Bias'], ['Hidden'], max_relative_error=5e-4)
+
+
+class TestLstmOpHasNoInitial(TestLstmOp):
+    def set_argument(self):
+        self.lod = [[0, 2, 5, 7]]
+        self.D = 16
+
+        self.act_gate = 'sigmoid'
+        self.act_cell = 'tanh'
+        self.act_cand = 'tanh'
+
+        self.has_initial_state = False
+        self.is_reverse = True
 
 
 class TestLstmOpRerverse(TestLstmOp):
-    def set_data(self):
-        self.lod = [[0, 2, 6, 9]]
-        self.D = 64
-        self.sort_idx = [2, 6, 0, 3, 7, 1, 4, 8, 5]
+    def set_argument(self):
+        self.lod = [[0, 2, 5, 7]]
+        self.D = 16
 
-        self.act_gate = "sigmoid"
-        self.act_cell = "tanh"
-        self.act_cand = "tanh"
+        self.act_gate = 'sigmoid'
+        self.act_cell = 'tanh'
+        self.act_cand = 'tanh'
 
+        self.has_initial_state = True
         self.is_reverse = True
 
 
-if __name__ == "__main__":
+if __name__ == '__main__':
     unittest.main()