diff --git a/paddle/operators/lstmp_op.cc b/paddle/operators/lstmp_op.cc
index 266612294c69ba7e80d7822a26ed377318b678c0..932e76e913756148b9872f139723e824a3421565 100644
--- a/paddle/operators/lstmp_op.cc
+++ b/paddle/operators/lstmp_op.cc
@@ -217,7 +217,7 @@ class LSTMPOpMaker : public framework::OpProtoAndCheckerMaker {
     AddComment(R"DOC(
 Long-Short Term Memory with Recurrent Projection (LSTMP) Operator.
 
-LATMP is stand LSTM appended by a recurrent projection layer to reduce the
+LSTMP is stand LSTM appended by a recurrent projection layer to reduce the
 number of parameters, espeacially when the output size is relative large. 
 The formula is as follows:
 
@@ -232,7 +232,7 @@ o_t = \sigma(W_{ox}x_{t} + W_{oh}r_{t-1} + W_{oc}c_t + b_o) \\
 
 h_t = o_t \odot act_h(c_t)
 
-r_t = act_h'(W_{rh}h_t)
+r_t = act_{h'}(W_{rh}h_t)
 $$
 
 where the W terms denote weight matrices (e.g. $W_{xi}$ is the matrix
diff --git a/paddle/operators/lstmp_op.h b/paddle/operators/lstmp_op.h
index 9467ccdb5a8e9d398daeadec1ee68ac5ef6aa0fc..0048f7e1c6aecb897893d108a897283090105518 100644
--- a/paddle/operators/lstmp_op.h
+++ b/paddle/operators/lstmp_op.h
@@ -365,10 +365,18 @@ class LSTMPGradKernel : public framework::OpKernel<T> {
         ActGradCompute(cell_act, place, cur_proj_dev, cur_proj_dev, proj_g_dev,
                        proj_g_dev);
       }
+      /* hidden state backwarad */
       Tensor out_g = batch_hidden_g.Slice(bstart, bend);
       math::matmul<DeviceContext, T>(device_ctx, proj_g, false, *proj_weight,
                                      true, static_cast<T>(1.0), &out_g,
                                      static_cast<T>(0.0));
+      /* projection weight backward*/
+      if (proj_weight_g) {
+        Tensor hidden_t = batch_hidden->Slice(bstart, bend);
+        math::matmul<DeviceContext, T>(device_ctx, hidden_t, true, proj_g,
+                                       false, static_cast<T>(1.0),
+                                       proj_weight_g, static_cast<T>(1.0));
+      }
 
       Tensor gate = batch_gate->Slice(bstart, bend);
       Tensor cell = batch_cell.Slice(bstart, bend);
@@ -407,19 +415,12 @@ class LSTMPGradKernel : public framework::OpKernel<T> {
                                        static_cast<T>(1.0), &pre_proj_g,
                                        static_cast<T>(1.0));
         if (weight_g) {
-          /* backward weight */
+          /* weight backward*/
           auto pre_proj = batch_proj.Slice(pre_h_start, pre_h_end);
           math::matmul<DeviceContext, T>(device_ctx, pre_proj, true, gate_g,
                                          false, static_cast<T>(1.0), weight_g,
                                          static_cast<T>(1.0));
         }
-        if (proj_weight_g) {
-          /* backward proj weigh */
-          Tensor hidden_t = batch_hidden->Slice(bstart, bend);
-          math::matmul<DeviceContext, T>(device_ctx, hidden_t, true, proj_g,
-                                         false, static_cast<T>(1.0),
-                                         proj_weight_g, static_cast<T>(1.0));
-        }
       } else {
         if (h0 && weight_g) {
           ReorderInitState<DeviceContext, T>(device_ctx, *h0, order,
@@ -444,7 +445,6 @@ class LSTMPGradKernel : public framework::OpKernel<T> {
             ActGradCompute(cell_act, place, proj0_dev, proj0_dev, proj0_g_dev,
                            proj0_g_dev);
           }
-          // Tensor proj0_g = proj_g.Slice(bstart, bend);
           if (h0_g) {
             math::matmul<DeviceContext, T>(
                 device_ctx, proj0_g, false, *proj_weight, true,
diff --git a/python/paddle/v2/fluid/tests/test_lstmp_op.py b/python/paddle/v2/fluid/tests/test_lstmp_op.py
index 81e06063fc7d725a64014a2b63887b0b22efdce0..a0f6955d7728770158ae25940844f76911d5594f 100644
--- a/python/paddle/v2/fluid/tests/test_lstmp_op.py
+++ b/python/paddle/v2/fluid/tests/test_lstmp_op.py
@@ -207,8 +207,8 @@ class TestLstmOp(OpTest):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Weight', 'Bias'], ['Projection'],
-            max_relative_error=5e-3)
+            ['Input', 'Weight', 'ProjWeight', 'Bias'], ['Projection'],
+            max_relative_error=1e-2)
 
 
 class TestLstmOpHasInitial(TestLstmOp):
@@ -235,8 +235,9 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Weight', 'Bias', 'H0', 'C0'], ['Projection'],
-            max_relative_error=5e-3)
+            ['Input', 'Weight', 'ProjWeight', 'Bias', 'H0', 'C0'],
+            ['Projection'],
+            max_relative_error=1e-2)
 
     def test_check_grad_ingore_bias(self):
         N = len(self.lod[0]) - 1
@@ -246,8 +247,8 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Weight'], ['Projection'],
-            max_relative_error=5e-3,
+            ['Input', 'ProjWeight', 'Weight'], ['Projection'],
+            max_relative_error=1e-2,
             no_grad_set=set('Bias'))
 
     def test_check_grad_ingore_weight(self):
@@ -258,10 +259,22 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Bias'], ['Projection'],
-            max_relative_error=5e-3,
+            ['Input', 'ProjWeight', 'Bias'], ['Projection'],
+            max_relative_error=1e-2,
             no_grad_set=set('Weight'))
 
+    def test_check_grad_ingore_proj_weight(self):
+        N = len(self.lod[0]) - 1
+        self.outputs['OrderedP0'] = np.zeros((N, self.P)).astype('float64')
+        self.outputs['BatchGate'] = np.zeros((N, 4 * self.D)).astype('float64')
+        self.outputs['BatchHidden'] = np.zeros((N, self.D)).astype('float64')
+        self.outputs['BatchCellPreAct'] = np.zeros(
+            (N, self.D)).astype('float64')
+        self.check_grad(
+            ['Input', 'Weight', 'Bias'], ['Projection'],
+            max_relative_error=1e-2,
+            no_grad_set=set('ProjWeight'))
+
     def test_check_grad_ingore_input(self):
         N = len(self.lod[0]) - 1
         self.outputs['OrderedP0'] = np.zeros((N, self.P)).astype('float64')
@@ -270,8 +283,8 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Weight', 'Bias'], ['Projection'],
-            max_relative_error=5e-3,
+            ['Weight', 'ProjWeight', 'Bias'], ['Projection'],
+            max_relative_error=1e-2,
             no_grad_set=set('Input'))
 
     def test_check_grad_ingore_h0(self):
@@ -282,8 +295,8 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Weight', 'Bias', 'C0'], ['Projection'],
-            max_relative_error=5e-3,
+            ['Input', 'Weight', 'ProjWeight', 'Bias', 'C0'], ['Projection'],
+            max_relative_error=1e-2,
             no_grad_set=set('H0'))
 
     def test_check_grad_ingore_c0(self):
@@ -294,8 +307,8 @@ class TestLstmOpHasInitial(TestLstmOp):
         self.outputs['BatchCellPreAct'] = np.zeros(
             (N, self.D)).astype('float64')
         self.check_grad(
-            ['Input', 'Weight', 'Bias', 'H0'], ['Projection'],
-            max_relative_error=5e-3,
+            ['Input', 'Weight', 'ProjWeight', 'Bias', 'H0'], ['Projection'],
+            max_relative_error=1e-2,
             no_grad_set=set('C0'))