diff --git a/paddle/fluid/framework/lod_tensor.cc b/paddle/fluid/framework/lod_tensor.cc
index f46bdf96ba1e9e1e137c690057051d9a127d45c9..2b4683f9e778593852029ec7e9ada7390e915e8b 100644
--- a/paddle/fluid/framework/lod_tensor.cc
+++ b/paddle/fluid/framework/lod_tensor.cc
@@ -158,7 +158,7 @@ bool CheckLoD(const LoD &in, int tensor_height) {
     if (level.size() < 2) return false;
     // check: the first offset(the begin offset) of each level should be 0.
     if (level.front() != 0) return false;
-    // check: all the offsets in a level should be ascending(allow same items)
+    // check: all the offsets in a level should be non-descending
     if (!std::is_sorted(level.begin(), level.end())) {
       return false;
     }
@@ -182,7 +182,7 @@ bool CheckAbsLoD(const LoD &in, int tensor_height) {
   if (in.empty()) return true;
   for (const auto &level : in) {
     // check: all the offsets in a level should be ascending(no same items
-    // allows).
+    // allowed).
     if (!std::is_sorted(level.begin(), level.begin(), [](size_t a, size_t b) {
           if (a < b) return true;
           return false;
diff --git a/paddle/fluid/framework/lod_tensor.h b/paddle/fluid/framework/lod_tensor.h
index fb6e781fd07b9033bea547118b8338ad8b705c5e..5e20ba7c1cf1fd7089ab1540d1b3b4062a4b6e26 100644
--- a/paddle/fluid/framework/lod_tensor.h
+++ b/paddle/fluid/framework/lod_tensor.h
@@ -79,7 +79,7 @@ bool operator==(const LoD& a, const LoD& b);
  *
  * It will check two things:
  *
- *  1. all the offsets in a level should be ascending(no same items allows).
+ *  1. all the offsets in a level should be non-descending.
  *  2. there should be more than 2 offsets existing in each level.
  *  3. the higher level's last offset should equals the lower level's size-1.
  *  4. the first offset(the begin offset) of each level should be 0.
@@ -95,7 +95,7 @@ bool CheckLoD(const LoD& in, int tensor_height = -1);
  *   - Empty lod is treated as valid.
  *
  * It will check two things:
- *  1. all the offsets in a level should be ascending(no same items allows)
+ *  1. all the offsets in a level should be ascending(no same items allowed).
  *  2. there should be more than 2 offsets existing in each level.
  *  3. the first offset of each level should be 0, and the last should be the
  *     same(the height of underlying tensor) or `tensor_height` if
diff --git a/paddle/fluid/operators/crf_decoding_op.h b/paddle/fluid/operators/crf_decoding_op.h
index d6b54038ec5648c72d606a6c7b9c8356cb74521b..13a587dc4b9a96d263c3137ef9a7576e111fdca2 100644
--- a/paddle/fluid/operators/crf_decoding_op.h
+++ b/paddle/fluid/operators/crf_decoding_op.h
@@ -46,6 +46,7 @@ class CRFDecodingOpKernel : public framework::OpKernel<T> {
     math::SetConstant<DeviceContext, int64_t>()(
         ctx.template device_context<DeviceContext>(), decoded_path, 0);
     for (size_t i = 0; i < seq_num; ++i) {
+      if (lod[level][i] == lod[level][i + 1]) continue;
       int start_pos = static_cast<int>(lod[level][i]);
       int end_pos = static_cast<int>(lod[level][i + 1]);
       Tensor decoded_path_one_seq = decoded_path->Slice(start_pos, end_pos);
diff --git a/paddle/fluid/operators/math/context_project.h b/paddle/fluid/operators/math/context_project.h
index d6a4793a8ac3e10fb334d47a51b17c985360d2d8..f6094369567cd0481b68ebbad46d4a3717eb6ead 100644
--- a/paddle/fluid/operators/math/context_project.h
+++ b/paddle/fluid/operators/math/context_project.h
@@ -104,6 +104,8 @@ class ContextProjectFunctor {
     sequence_width = in.dims()[1];
 
     for (int i = 0; i < static_cast<int>(lod_level_0.size()) - 1; ++i) {
+      if (lod_level_0[i] == lod_level_0[i + 1]) continue;
+
       input_row_begin = (context_start > 0)
                             ? static_cast<int>(lod_level_0[i]) + context_start
                             : static_cast<int>(lod_level_0[i]);
@@ -134,6 +136,8 @@ class ContextProjectFunctor {
     if (padding_trainable) {
       PADDLE_ENFORCE_NOT_NULL(padding_data);
       for (int i = 0; i < static_cast<int>(lod_level_0.size()) - 1; ++i) {
+        if (lod_level_0[i] == lod_level_0[i + 1]) continue;
+
         Tensor out_t = col->Slice(static_cast<int>(lod_level_0[i]),
                                   static_cast<int>(lod_level_0[i + 1]));
 
@@ -216,6 +220,8 @@ class ContextProjectGradFunctor {
 
     if (input_grad) {
       for (int i = 0; i < static_cast<int>(lod_level_0.size()) - 1; ++i) {
+        if (lod_level_0[i] == lod_level_0[i + 1]) continue;
+
         input_row_begin = (context_start > 0)
                               ? static_cast<int>(lod_level_0[i]) + context_start
                               : static_cast<int>(lod_level_0[i]);
@@ -248,6 +254,8 @@ class ContextProjectGradFunctor {
     if (pad_grad) {
       if (padding_trainable) {
         for (int i = 0; i < static_cast<int>(lod_level_0.size()) - 1; ++i) {
+          if (lod_level_0[i] == lod_level_0[i + 1]) continue;
+
           Tensor out_t = col->Slice(static_cast<int>(lod_level_0[i]),
                                     static_cast<int>(lod_level_0[i + 1]));
 
diff --git a/paddle/fluid/operators/math/detail/lstm_gpu_kernel.h b/paddle/fluid/operators/math/detail/lstm_gpu_kernel.h
index e0ca9e7f5b2f4a8bb837768d645b5103aa3e6760..24885d37020dc94a67063ff4a9d142550904a97b 100644
--- a/paddle/fluid/operators/math/detail/lstm_gpu_kernel.h
+++ b/paddle/fluid/operators/math/detail/lstm_gpu_kernel.h
@@ -197,9 +197,9 @@ void gpu_lstm_forward(const platform::DeviceContext& context, Op op,
     threads = dim3(frame_per_block, 1);
     grid = dim3(frame_blocks, 1);
   } else {
-    /* frame_per_block = 32 batch_per_block = 32 */
-    threads = dim3(32, 32);
-    grid = dim3((frame_size + 32 - 1) / 32, (batch_size + 32 - 1) / 32);
+    /* frame_per_block = 32 batch_per_block = 16 */
+    threads = dim3(32, 16);
+    grid = dim3((frame_size + 32 - 1) / 32, (batch_size + 16 - 1) / 16);
   }
 
   auto stream =
diff --git a/paddle/fluid/operators/sequence_ops/sequence_concat_op.h b/paddle/fluid/operators/sequence_ops/sequence_concat_op.h
index ff035f421c4907ba940b973b3fd2a9421ed2dbae..5cf29d58f0f8d9c85ecb00818ac699b02eba1c80 100644
--- a/paddle/fluid/operators/sequence_ops/sequence_concat_op.h
+++ b/paddle/fluid/operators/sequence_ops/sequence_concat_op.h
@@ -34,7 +34,9 @@ inline framework::LoD ConcatLoD(const Container &xs,
     for (size_t j = 0; j < xs.size(); ++j) {
       auto &x_lod = xs[j].get().lod()[0];
       const framework::Tensor &tensor = xs[j].get();
-      xs_in_order->emplace_back(tensor.Slice(x_lod[i - 1], x_lod[i]));
+      if (x_lod[i - 1] < x_lod[i]) {
+        xs_in_order->emplace_back(tensor.Slice(x_lod[i - 1], x_lod[i]));
+      }
       sum += x_lod[i];
     }
     result[i] = sum;
@@ -97,6 +99,8 @@ class SeqConcatGradKernel : public framework::OpKernel<T> {
         const framework::LoDTensor *x = xs[j];
         framework::LoDTensor *dx = dxs[j];
         auto &x_lod = x->lod()[0];
+        if (x_lod[i - 1] == x_lod[i]) continue;
+
         sliced_x.emplace_back(x->Slice(x_lod[i - 1], x_lod[i]));
         if (dx != nullptr) {
           sliced_dx.emplace_back(dx->Slice(x_lod[i - 1], x_lod[i]));
diff --git a/paddle/fluid/operators/sequence_ops/sequence_enumerate_op.h b/paddle/fluid/operators/sequence_ops/sequence_enumerate_op.h
index 6a1eb6e625b6990506ba554de4e2398daeb64451..6c5a2e968086bd4c3d0d56ae5c81a09dda91ab86 100644
--- a/paddle/fluid/operators/sequence_ops/sequence_enumerate_op.h
+++ b/paddle/fluid/operators/sequence_ops/sequence_enumerate_op.h
@@ -47,8 +47,10 @@ class SequenceEnumerateKernel : public framework::OpKernel<T> {
     out->set_lod(in->lod());
     auto out_data = out->mutable_data<T>(context.GetPlace());
     for (size_t i = 0; i < lod0.size() - 1; ++i) {
+      if (lod0[i] == lod0[i + 1]) continue;
       int start = lod0[i];
       int end = lod0[i + 1];
+
       int copy_size = win_size < end - start + 1 ? win_size : end - start + 1;
       int mid = end + 1 - copy_size;
       int pad_num = win_size - copy_size;
diff --git a/paddle/fluid/operators/sequence_ops/sequence_expand_op.h b/paddle/fluid/operators/sequence_ops/sequence_expand_op.h
index 9228c81310463c3cb1d32fb613dd51d175b99c0e..fac63f3fa0791ca04b5743891ddb829cb9c448fa 100644
--- a/paddle/fluid/operators/sequence_ops/sequence_expand_op.h
+++ b/paddle/fluid/operators/sequence_ops/sequence_expand_op.h
@@ -160,6 +160,7 @@ struct SequenceExpandGradFunctor<platform::CPUDeviceContext, T> {
         int x_start = x_lod[i - 1];
         int x_end = x_lod[i];
         int x_seq_len = x_end - x_start;
+        if (x_seq_len == 0) continue;
         auto dx_sub = dx->Slice(x_start, x_end);
         dx_sub.Resize(flatten_to_1d(dx_sub.dims()));
         int dout_end = dout_offset + repeat_num * x_seq_len;
diff --git a/paddle/fluid/operators/sequence_ops/sequence_slice_op.h b/paddle/fluid/operators/sequence_ops/sequence_slice_op.h
index 4bded0efb9674f368a3139841f9340c55567da1a..146b5cc9b3c6fc7772b3af64657689fa13f87bf0 100644
--- a/paddle/fluid/operators/sequence_ops/sequence_slice_op.h
+++ b/paddle/fluid/operators/sequence_ops/sequence_slice_op.h
@@ -76,9 +76,9 @@ class SequenceSliceOpKernel : public framework::OpKernel<T> {
 
     for (size_t i = 0; i < n; ++i) {
       PADDLE_ENFORCE_LE(0, offset_data[i],
-                        "The offset[%d] must greater than zero.", i);
-      PADDLE_ENFORCE_LT(0, length_data[i],
-                        "The length[%d] must greater than zero.", i);
+                        "The offset[%d] must be nonnegative.", i);
+      PADDLE_ENFORCE_LE(0, length_data[i],
+                        "The length[%d] must be nonnegative.", i);
       PADDLE_ENFORCE_LE(lod[0][i] + offset_data[i] + length_data[i],
                         lod[0][i + 1], "The target tensor's length overflow.");
     }
@@ -95,6 +95,7 @@ class SequenceSliceOpKernel : public framework::OpKernel<T> {
 
     size_t out_offset = 0;
     for (size_t i = 0; i < n; ++i) {
+      if (length_data[i] == 0) continue;
       Tensor in_t = in->Slice(
           static_cast<int>(lod[0][i] + offset_data[i]),
           static_cast<int>(lod[0][i] + offset_data[i] + length_data[i]));
@@ -144,6 +145,7 @@ class SequenceSliceGradOpKernel : public framework::OpKernel<T> {
                static_cast<T>(0));
 
       for (size_t i = 0; i < out_lod[0].size() - 1; ++i) {
+        if (length_data[i] == 0) continue;
         Tensor out_grad_t =
             out_grad->Slice(static_cast<int>(out_lod[0][i]),
                             static_cast<int>(out_lod[0][i + 1]));
diff --git a/python/paddle/fluid/tests/unittests/test_crf_decoding_op.py b/python/paddle/fluid/tests/unittests/test_crf_decoding_op.py
index 51bd1300e61d58c934a40abf81ab8f137e44910f..89af7210760b88a362649571282873903be60395 100644
--- a/python/paddle/fluid/tests/unittests/test_crf_decoding_op.py
+++ b/python/paddle/fluid/tests/unittests/test_crf_decoding_op.py
@@ -128,12 +128,15 @@ class TestCRFDecodingOp2(OpTest):
     ground truth being given.
     """
 
+    def init_lod(self):
+        self.lod = [[1, 2, 3, 4]]
+
     def setUp(self):
         self.op_type = "crf_decoding"
         TAG_NUM = 5
 
-        lod = [[1, 2, 3, 4]]
-        total_len = sum(lod[-1])
+        self.init_lod()
+        total_len = sum(self.lod[-1])
         transition = np.repeat(
             np.arange(
                 TAG_NUM, dtype="float64").reshape(1, TAG_NUM),
@@ -152,9 +155,9 @@ class TestCRFDecodingOp2(OpTest):
         expected_output = (labels == predicted_labels).astype("int64")
 
         self.inputs = {
-            "Emission": (emission, lod),
+            "Emission": (emission, self.lod),
             "Transition": transition,
-            "Label": (labels, lod)
+            "Label": (labels, self.lod)
         }
 
         self.outputs = {"ViterbiPath": expected_output}
@@ -163,5 +166,15 @@ class TestCRFDecodingOp2(OpTest):
         self.check_output()
 
 
+class TestCRFDecodingOp3(TestCRFDecodingOp2):
+    def init_lod(self):
+        self.lod = [[1, 0, 0, 4]]
+
+
+class TestCRFDecodingOp4(TestCRFDecodingOp2):
+    def init_lod(self):
+        self.lod = [[0, 2, 3, 0]]
+
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_edit_distance_op.py b/python/paddle/fluid/tests/unittests/test_edit_distance_op.py
index 4d03523025d357e453848f3016ffee890b5d46ec..0a334197ab76fa444fdeb81690b70a35b67219ac 100644
--- a/python/paddle/fluid/tests/unittests/test_edit_distance_op.py
+++ b/python/paddle/fluid/tests/unittests/test_edit_distance_op.py
@@ -58,10 +58,10 @@ class TestEditDistanceOp(OpTest):
         x2 = np.array([[12, 4, 7, 8]]).astype("int64")
         x1 = np.transpose(x1)
         x2 = np.transpose(x2)
-        x1_lod = [1, 4]
-        x2_lod = [3, 1]
+        self.x1_lod = [1, 4]
+        self.x2_lod = [3, 1]
 
-        num_strs = len(x1_lod)
+        num_strs = len(self.x1_lod)
         distance = np.zeros((num_strs, 1)).astype("float32")
         sequence_num = np.array(2).astype("int64")
 
@@ -69,23 +69,26 @@ class TestEditDistanceOp(OpTest):
         x2_offset = 0
         for i in range(0, num_strs):
             distance[i] = Levenshtein(
-                hyp=x1[x1_offset:(x1_offset + x1_lod[i])],
-                ref=x2[x2_offset:(x2_offset + x2_lod[i])])
-            x1_offset += x1_lod[i]
-            x2_offset += x2_lod[i]
+                hyp=x1[x1_offset:(x1_offset + self.x1_lod[i])],
+                ref=x2[x2_offset:(x2_offset + self.x2_lod[i])])
+            x1_offset += self.x1_lod[i]
+            x2_offset += self.x2_lod[i]
             if normalized is True:
-                len_ref = x2_lod[i]
+                len_ref = self.x2_lod[i]
                 distance[i] = distance[i] / len_ref
 
         self.attrs = {'normalized': normalized}
-        self.inputs = {'Hyps': (x1, [x1_lod]), 'Refs': (x2, [x2_lod])}
+        self.inputs = {'Hyps': (x1, [self.x1_lod]), 'Refs': (x2, [self.x2_lod])}
         self.outputs = {'Out': distance, 'SequenceNum': sequence_num}
 
     def test_check_output(self):
         self.check_output()
 
 
-class TestEditDistanceOpNormalized(OpTest):
+class TestEditDistanceOpNormalizedCase0(OpTest):
+    def reset_config(self):
+        pass
+
     def setUp(self):
         self.op_type = "edit_distance"
         normalized = True
@@ -93,10 +96,11 @@ class TestEditDistanceOpNormalized(OpTest):
         x2 = np.array([[10, 4, 6, 7, 8]]).astype("int64")
         x1 = np.transpose(x1)
         x2 = np.transpose(x2)
-        x1_lod = [1, 2, 3]
-        x2_lod = [2, 1, 2]
+        self.x1_lod = [3, 0, 3]
+        self.x2_lod = [2, 1, 2]
+        self.reset_config()
 
-        num_strs = len(x1_lod)
+        num_strs = len(self.x1_lod)
         distance = np.zeros((num_strs, 1)).astype("float32")
         sequence_num = np.array(3).astype("int64")
 
@@ -104,21 +108,33 @@ class TestEditDistanceOpNormalized(OpTest):
         x2_offset = 0
         for i in range(0, num_strs):
             distance[i] = Levenshtein(
-                hyp=x1[x1_offset:(x1_offset + x1_lod[i])],
-                ref=x2[x2_offset:(x2_offset + x2_lod[i])])
-            x1_offset += x1_lod[i]
-            x2_offset += x2_lod[i]
+                hyp=x1[x1_offset:(x1_offset + self.x1_lod[i])],
+                ref=x2[x2_offset:(x2_offset + self.x2_lod[i])])
+            x1_offset += self.x1_lod[i]
+            x2_offset += self.x2_lod[i]
             if normalized is True:
-                len_ref = x2_lod[i]
+                len_ref = self.x2_lod[i]
                 distance[i] = distance[i] / len_ref
 
         self.attrs = {'normalized': normalized}
-        self.inputs = {'Hyps': (x1, [x1_lod]), 'Refs': (x2, [x2_lod])}
+        self.inputs = {'Hyps': (x1, [self.x1_lod]), 'Refs': (x2, [self.x2_lod])}
         self.outputs = {'Out': distance, 'SequenceNum': sequence_num}
 
     def test_check_output(self):
         self.check_output()
 
 
+class TestEditDistanceOpNormalizedCase1(TestEditDistanceOpNormalizedCase0):
+    def reset_config(self):
+        self.x1_lod = [0, 6, 0]
+        self.x2_lod = [2, 1, 2]
+
+
+class TestEditDistanceOpNormalizedCase2(TestEditDistanceOpNormalizedCase0):
+    def reset_config(self):
+        self.x1_lod = [0, 0, 6]
+        self.x2_lod = [2, 2, 1]
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_gru_op.py b/python/paddle/fluid/tests/unittests/test_gru_op.py
index c66d59aceb05dfbf9beac809ff13841a77953695..17af1d88d086f9a53ef8075572184a4cd4d3be88 100644
--- a/python/paddle/fluid/tests/unittests/test_gru_op.py
+++ b/python/paddle/fluid/tests/unittests/test_gru_op.py
@@ -82,9 +82,9 @@ def gru(
     hidden = np.zeros((T, D), dtype=dtype)
 
     idx_in_seq_list, sorted_seqs = _seq_to_batch(lod, is_reverse)
-    h_p = h0[sorted_seqs]
+    h_p = h0[[seq for seq in sorted_seqs if lod[0][seq] > 0]]
+
     max_seq_len = len(idx_in_seq_list)
-    assert len(idx_in_seq_list[0]) == N
     end_idx = 0
     for batch_idx in range(max_seq_len):
         x = input[idx_in_seq_list[batch_idx]]
@@ -119,7 +119,6 @@ class TestGRUOp(OpTest):
 
         T = sum(self.lod[0])
         N = len(self.lod[0])
-
         input = np.random.rand(T, 3 * self.D).astype(self.dtype)
         weight = np.random.rand(self.D, 3 * self.D).astype(self.dtype)
         bias = np.random.rand(
@@ -173,6 +172,13 @@ class TestGRUOp2(TestGRUOp):
         self.dtype = 'float32'
 
 
+class TestGRUOp2Len0(TestGRUOp):
+    def set_confs(self):
+        self.D = 19
+        self.lod = [[2, 0, 4]]
+        self.dtype = 'float32'
+
+
 class TestGRUOp2OriginMode(TestGRUOp):
     def set_confs(self):
         self.D = 19
@@ -180,6 +186,22 @@ class TestGRUOp2OriginMode(TestGRUOp):
         self.origin_mode = True
 
 
+class TestGRUOp2OriginModeLen0(TestGRUOp):
+    def set_confs(self):
+        self.D = 19
+        self.lod = [[0, 3, 4]]
+        self.dtype = 'float32'
+        self.origin_mode = True
+
+
+class TestGRUOp2OriginModeLastLen0(TestGRUOp):
+    def set_confs(self):
+        self.D = 19
+        self.lod = [[0, 3, 0]]
+        self.dtype = 'float32'
+        self.origin_mode = True
+
+
 class TestGRUOpNoInitial(TestGRUOp):
     def set_confs(self):
         self.with_h0 = False
diff --git a/python/paddle/fluid/tests/unittests/test_linear_chain_crf_op.py b/python/paddle/fluid/tests/unittests/test_linear_chain_crf_op.py
index 6e31e9204e95d98fcf69ed84a46d6cf3d94c808a..b365e1642ef62ecb7a3b8f1b30c9c8fbb5755440 100644
--- a/python/paddle/fluid/tests/unittests/test_linear_chain_crf_op.py
+++ b/python/paddle/fluid/tests/unittests/test_linear_chain_crf_op.py
@@ -89,7 +89,8 @@ class LinearChainCrfForward(object):
         for i in range(self.seq_num):
             start = self.seq_start_positions[i]
             end = self.seq_start_positions[i + 1]
-
+            if start >= end:
+                continue
             self.log_likelihood[i] = self._forward_a_sequence(
                 self.x[start:end, :], self.x_row_max[start:end, :],
                 self.x_exps[start:end, :], self.labels[start:end, :],
@@ -110,7 +111,7 @@ class TestLinearChainCrfOp(OpTest):
         lod = [[]]
         seq_start_pos = [0]
         for i in range(SEQ_NUM):
-            lod[-1].append(random.randint(1, MAX_SEQ_LEN))
+            lod[-1].append(random.randint(0, MAX_SEQ_LEN))
             seq_start_pos.append(seq_start_pos[-1] + lod[-1][-1])
         emission = np.random.uniform(
             -1, 1, [seq_start_pos[-1], TAG_NUM]).astype("float64")
diff --git a/python/paddle/fluid/tests/unittests/test_lstm_op.py b/python/paddle/fluid/tests/unittests/test_lstm_op.py
index 76a24123fc7d51231bf24a3d1a6930186c94a5db..7ee33c6e9ec1995f6b365e556c7adce20eb16270 100644
--- a/python/paddle/fluid/tests/unittests/test_lstm_op.py
+++ b/python/paddle/fluid/tests/unittests/test_lstm_op.py
@@ -127,8 +127,11 @@ def lstm(
 
 
 class TestLstmOp(OpTest):
-    def set_argument(self):
+    def set_lod(self):
         self.lod = [[2, 3, 2]]
+
+    def set_argument(self):
+        self.set_lod()
         self.D = 16
 
         self.act_gate = 'sigmoid'
@@ -142,7 +145,6 @@ class TestLstmOp(OpTest):
     def setUp(self):
         self.set_argument()
         self.op_type = 'lstm'
-
         T = sum(self.lod[0])
         N = len(self.lod[0])
 
@@ -198,6 +200,21 @@ class TestLstmOp(OpTest):
             ['Input', 'Weight', 'Bias'], ['Hidden'], max_relative_error=5e-4)
 
 
+class TestLstmOpCase1(TestLstmOp):
+    def set_lod(self):
+        self.lod = [[0, 3, 2]]
+
+
+class TestLstmOpCase2(TestLstmOp):
+    def set_lod(self):
+        self.lod = [[0, 3, 0]]
+
+
+class TestLstmOpCase3(TestLstmOp):
+    def set_lod(self):
+        self.lod = [[2, 0, 4]]
+
+
 # class TestLstmOpHasInitial(TestLstmOp):
 #     def set_argument(self):
 #         self.lod = [[2, 3, 2]]
diff --git a/python/paddle/fluid/tests/unittests/test_lstmp_op.py b/python/paddle/fluid/tests/unittests/test_lstmp_op.py
index 0645cfedb8089f5618c54672cac91343e5dee285..70a0af6c9854efdf4d8b7c849c15e7aff6935fb2 100644
--- a/python/paddle/fluid/tests/unittests/test_lstmp_op.py
+++ b/python/paddle/fluid/tests/unittests/test_lstmp_op.py
@@ -305,5 +305,15 @@ class TestLstmpOpLinearProjection(TestLstmpOp):
         self.act_proj = 'identity'
 
 
+class TestLstmpOpLen0Case1(TestLstmpOp):
+    def reset_argument(self):
+        self.lod = [[0, 4, 0]]
+
+
+class TestLstmpOpLen0Case2(TestLstmpOp):
+    def reset_argument(self):
+        self.lod = [[2, 0, 3]]
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_seq_conv.py b/python/paddle/fluid/tests/unittests/test_seq_conv.py
index 2285e9496768aea6f48fb7796536e8344839d862..da111f9b73489b72688bba3841c858ef4e9689d7 100644
--- a/python/paddle/fluid/tests/unittests/test_seq_conv.py
+++ b/python/paddle/fluid/tests/unittests/test_seq_conv.py
@@ -204,7 +204,24 @@ class TestSeqProjectCase1(TestSeqProject):
         self.output_represention = 8  # output feature size
 
 
-class TestSeqProjectCase2(TestSeqProject):
+class TestSeqProjectCase2Len0(TestSeqProject):
+    def init_test_case(self):
+        self.input_row = 11
+        self.context_start = -1
+        self.context_length = 3
+        self.padding_trainable = True
+        self.context_stride = 1
+
+        self.input_size = [self.input_row, 23]
+        offset_lod = [[0, 0, 4, 5, 5, 8, self.input_row, self.input_row]]
+        self.lod = [[]]
+        # convert from offset-based lod to length-based lod
+        for i in range(len(offset_lod[0]) - 1):
+            self.lod[0].append(offset_lod[0][i + 1] - offset_lod[0][i])
+        self.output_represention = 8  # output feature size
+
+
+class TestSeqProjectCase3(TestSeqProject):
     def init_test_case(self):
         self.input_row = 25
         self.context_start = 2
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_concat.py b/python/paddle/fluid/tests/unittests/test_sequence_concat.py
index db99001cecc95fb4c684dacbd379bb88c8aec9fc..b4a40edc6ac78a4725e1cfed633e59621fa89f58 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_concat.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_concat.py
@@ -20,19 +20,24 @@ from op_test import OpTest
 
 
 class TestSequenceConcat(OpTest):
+    def setLoD(self):
+        self.lod1 = [7, 3]
+        self.lod2 = [12, 8]
+        self.out_lod = [19, 11]
+
     def setUp(self):
         x1 = np.random.random(size=(10, 80))
-        lod1 = [7, 3]
         x2 = np.random.random(size=(20, 80))
-        lod2 = [12, 8]
+        self.setLoD()
 
-        out = np.concatenate((x1[0:lod1[0]], x2[0:lod2[0]], x1[lod1[0]:],
-                              x2[lod2[0]:]))
-        out_lod = [19, 11]
+        out = np.concatenate((x1[0:self.lod1[0]], x2[0:self.lod2[0]],
+                              x1[self.lod1[0]:], x2[self.lod2[0]:]))
 
         self.op_type = "sequence_concat"
-        self.inputs = {'X': [("x1", (x1, [lod1])), ("x2", (x2, [lod2]))]}
-        self.outputs = {"Out": (out, [out_lod])}
+        self.inputs = {
+            'X': [("x1", (x1, [self.lod1])), ("x2", (x2, [self.lod2]))]
+        }
+        self.outputs = {"Out": (out, [self.out_lod])}
 
     def test_output(self):
         self.check_output(1e-3)
@@ -41,5 +46,33 @@ class TestSequenceConcat(OpTest):
         self.check_grad(inputs_to_check=['x1', 'x2'], output_names="Out")
 
 
+class TestSequenceConcatCase2(TestSequenceConcat):
+    def setLoD(self):
+        self.lod1 = [10, 0]
+        self.lod2 = [12, 8]
+        self.out_lod = [22, 8]
+
+
+class TestSequenceConcatCase3(TestSequenceConcat):
+    def setLoD(self):
+        self.lod1 = [10, 0]
+        self.lod2 = [20, 0]
+        self.out_lod = [30, 0]
+
+
+class TestSequenceConcatCase4(TestSequenceConcat):
+    def setLoD(self):
+        self.lod1 = [0, 10]
+        self.lod2 = [0, 20]
+        self.out_lod = [0, 30]
+
+
+class TestSequenceConcatCase5(TestSequenceConcat):
+    def setLoD(self):
+        self.lod1 = [0, 10]
+        self.lod2 = [20, 0]
+        self.out_lod = [20, 10]
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_enumerate_op.py b/python/paddle/fluid/tests/unittests/test_sequence_enumerate_op.py
index 9814ec0a15e1803b356f300d378c31e57ba36c09..99bb33a0a5e201c2708855b3af47bdcfd87cd64a 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_enumerate_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_enumerate_op.py
@@ -101,5 +101,16 @@ class TestSequenceEnumerateOpLargePadValue(TestSequenceEnumerateOp):
         self.out_seq = np.array(out_seq).astype("int32")
 
 
+class TestSequenceEnumerateOpLargePadValueSeqLen0(TestSequenceEnumerateOp):
+    def init_test_case(self):
+        self.in_seq = np.random.randint(0, 10, (30, 1)).astype("int32")
+        self.lod = [[0, 14, 0, 16, 0]]
+        self.win_size = 5
+        self.pad_value = 5
+        out_seq = sequence_enumerate(self.in_seq, self.lod, self.win_size,
+                                     self.pad_value)
+        self.out_seq = np.array(out_seq).astype("int32")
+
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_erase_op.py b/python/paddle/fluid/tests/unittests/test_sequence_erase_op.py
index b49249538bbf07f67136e04a11a42febfedecf81..53bb301e9a23de4b7f34db69dd55fa0ce804dae5 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_erase_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_erase_op.py
@@ -79,6 +79,21 @@ class TestSequenceEraseOpInt64(OpTest):
         self.check_output()
 
 
+class TestSequenceEraseOpInt64SeqLen0(OpTest):
+    def setUp(self):
+        self.op_type = "sequence_erase"
+        in_seq = np.random.randint(0, 10, (30, 1)).astype("int64")
+        lod = [[0, 9, 0, 0, 10, 11, 0]]
+        tokens = [2, 3, 5]
+        out_seq, new_lod0 = sequence_erase(in_seq, lod[0], tokens)
+        self.attrs = {'tokens': tokens}
+        self.inputs = {'X': (in_seq, lod)}
+        self.outputs = {'Out': (out_seq, [new_lod0])}
+
+    def test_check_output(self):
+        self.check_output()
+
+
 class TestSequenceEraseOpEmpty(OpTest):
     def setUp(self):
         self.op_type = "sequence_erase"
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_expand.py b/python/paddle/fluid/tests/unittests/test_sequence_expand.py
index d33a57f675aa98cf13e1ac0014109d9cb3856e87..1e4d1119789533eb020f102bb1b08f00311ceae1 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_expand.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_expand.py
@@ -116,5 +116,23 @@ class TestSequenceExpandCase4(TestSequenceExpand):
         self.inputs = {'X': (x_data, x_lod), 'Y': (y_data, y_lod)}
 
 
+class TestSequenceExpandCase5(TestSequenceExpand):
+    def set_data(self):
+        x_data = np.random.uniform(0.1, 1, [6, 1]).astype('float32')
+        y_data = np.random.uniform(0.1, 1, [13, 1]).astype('float32')
+        y_lod = [[2, 4], [2, 2, 3, 0, 3, 3]]
+        self.inputs = {'X': x_data, 'Y': (y_data, y_lod)}
+        self.attrs = {'ref_level': 1}
+
+
+class TestSequenceExpandCase6(TestSequenceExpand):
+    def set_data(self):
+        x_data = np.random.uniform(0.1, 1, [4, 1]).astype('float32')
+        x_lod = [[1, 1, 0, 1, 1]]
+        y_data = np.random.uniform(0.1, 1, [8, 1]).astype('float32')
+        y_lod = [[0, 2, 4, 2, 0]]
+        self.inputs = {'X': (x_data, x_lod), 'Y': (y_data, y_lod)}
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_expand_as.py b/python/paddle/fluid/tests/unittests/test_sequence_expand_as.py
index 4ac97f7ed49fa7e6537efad134ab1320639dce9d..30c487eea3dfb2c5d2349a00e62d91a7b7fdc013 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_expand_as.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_expand_as.py
@@ -65,6 +65,15 @@ class TestSequenceExpandAsCase1(TestSequenceExpandAs):
 
 
 class TestSequenceExpandAsCase2(TestSequenceExpandAs):
+    def set_data(self):
+        x_data = np.random.uniform(0.1, 1, [5, 1]).astype('float32')
+        x_lod = [[2, 3]]
+        y_data = np.random.uniform(0.1, 1, [10, 1]).astype('float32')
+        y_lod = [[0, 4, 0, 6, 0]]
+        self.inputs = {'X': (x_data, x_lod), 'Y': (y_data, y_lod)}
+
+
+class TestSequenceExpandAsCase3(TestSequenceExpandAs):
     def set_data(self):
         x_data = np.random.uniform(0.1, 1, [1, 2, 2]).astype('float32')
         x_lod = [[1]]
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_pad_op.py b/python/paddle/fluid/tests/unittests/test_sequence_pad_op.py
index 3067294e5bb3edcb2f1ce77f5e60b885a39a6475..d5ab9e89fc22147de26c8eb3c505aee0e1203350 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_pad_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_pad_op.py
@@ -132,5 +132,14 @@ class TestSequencePadOp7(TestSequencePadOp):
         self.dtype = 'float32'
 
 
+class TestSequencePadOp8(TestSequencePadOp):
+    def set_attr(self):
+        self.x_shape = [12, 2, 2]
+        self.x_len_lod = [[0, 8, 0, 4, 0]]
+        self.pad_value = [1.0]
+        self.padded_length = 10
+        self.dtype = 'float32'
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_reshape.py b/python/paddle/fluid/tests/unittests/test_sequence_reshape.py
index f11fa6c39c35efc14f8600dd746ab64cc940cd71..e2e7837dac7a2430331c6b595174057b388ad043 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_reshape.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_reshape.py
@@ -21,17 +21,17 @@ from op_test import OpTest
 
 
 class TestSequenceReshape(OpTest):
+    def init_data(self):
+        self.dimension = 12
+        self.x_lod = [[4, 1, 3, 3]]
+        self.x = np.random.uniform(0.1, 1, [11, 24]).astype('float32')
+
     def setUp(self):
+        self.init_data()
         self.op_type = 'sequence_reshape'
-        dimension = 12
-        x_lod = [[4, 1, 3, 3]]
-        x = np.random.uniform(0.1, 1, [11, 24]).astype('float32')
-
-        self.inputs = {'X': (x, x_lod)}
-        self.attrs = {'new_dim': dimension}
-
-        out, out_lod = self.compute_output(x, x_lod, dimension)
-
+        self.inputs = {'X': (self.x, self.x_lod)}
+        self.attrs = {'new_dim': self.dimension}
+        out, out_lod = self.compute_output(self.x, self.x_lod, self.dimension)
         self.outputs = {'Out': (out, out_lod)}
 
     def compute_output(self, x, x_lod, dimension):
@@ -54,33 +54,31 @@ class TestSequenceReshape(OpTest):
 
 
 class TestSequenceReshape_reduce(TestSequenceReshape):
-    def setUp(self):
-        self.op_type = 'sequence_reshape'
-        dimension = 24
-        x_lod = [[4, 2, 2, 4]]
-        x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
-
-        self.inputs = {'X': (x, x_lod)}
-        self.attrs = {'new_dim': dimension}
-
-        out, out_lod = self.compute_output(x, x_lod, dimension)
-
-        self.outputs = {'Out': (out, out_lod)}
+    def init_data(self):
+        self.dimension = 24
+        self.x_lod = [[4, 2, 2, 4]]
+        self.x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
 
 
 class TestSequenceReshape_same(TestSequenceReshape):
-    def setUp(self):
-        self.op_type = 'sequence_reshape'
-        dimension = 12
-        x_lod = [[4, 2, 2, 4]]
-        x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
+    def init_data(self):
+        self.dimension = 12
+        self.x_lod = [[4, 2, 2, 4]]
+        self.x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
 
-        self.inputs = {'X': (x, x_lod)}
-        self.attrs = {'new_dim': dimension}
 
-        out, out_lod = self.compute_output(x, x_lod, dimension)
+class TestSequenceReshape_reduce_seq_len0(TestSequenceReshape):
+    def init_data(self):
+        self.dimension = 24
+        self.x_lod = [[0, 6, 0, 2, 4]]
+        self.x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
 
-        self.outputs = {'Out': (out, out_lod)}
+
+class TestSequenceReshape_reduce_seq_len0_case1(TestSequenceReshape):
+    def init_data(self):
+        self.dimension = 24
+        self.x_lod = [[0, 2, 8, 2, 0]]
+        self.x = np.random.uniform(0.1, 1, [12, 12]).astype('float32')
 
 
 if __name__ == '__main__':
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_reverse.py b/python/paddle/fluid/tests/unittests/test_sequence_reverse.py
index eebd25e0975f1711ea86093f007212cadc6334f5..09fb068ae6682be3d0f6506841eb8efceea7b61c 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_reverse.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_reverse.py
@@ -65,5 +65,17 @@ class TestSequenceReverse2(TestSequenceReverseBase):
         self.lod = [12]
 
 
+class TestSequenceReverse3(TestSequenceReverseBase):
+    def initParameters(self):
+        self.size = (12, 10)
+        self.lod = [3, 0, 6, 3]
+
+
+class TestSequenceReverse3(TestSequenceReverseBase):
+    def initParameters(self):
+        self.size = (12, 10)
+        self.lod = [0, 2, 10, 0]
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_scatter_op.py b/python/paddle/fluid/tests/unittests/test_sequence_scatter_op.py
index f3d239e9c798745cbb3dda9df56dbd717aab74ed..4ffe2c2a12bc12eaa4f6ddb860f977de1265cb54 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_scatter_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_scatter_op.py
@@ -18,20 +18,26 @@ from op_test import OpTest
 
 
 class TestSequenceScatterOp(OpTest):
+    def init_lod(self):
+        return [[3, 5, 4]]
+
     def setUp(self):
         self.op_type = "sequence_scatter"
 
         X_data = np.random.uniform(0.1, 1.0, [3, 6]).astype('float32')
-        Ids_data = np.array([[0], [1], [2], [5], [4], [3], [2], [1], [3], [2],
+        Ids_data = np.array([[0], [1], [2], [5], [4], [3], [0], [1], [3], [2],
                              [5], [4]]).astype('int64')
-        Ids_lod = [[3, 5, 4]]
+        Ids_lod = self.init_lod()
+
         Updates_data = np.random.uniform(0.1, 1.0, [12, 1]).astype('float32')
         Updates_lod = Ids_lod
 
         Out_data = np.copy(X_data)
-        Out_data[0][Ids_data[0:3]] += Updates_data[0:3]
-        Out_data[1][Ids_data[3:8]] += Updates_data[3:8]
-        Out_data[2][Ids_data[8:]] += Updates_data[8:]
+        offset = 0
+        for i in range(3):
+            Out_data[i][Ids_data[offset:(offset + Ids_lod[0][
+                i])]] += Updates_data[offset:(offset + Ids_lod[0][i])]
+            offset += Ids_lod[0][i]
 
         self.inputs = {
             'X': X_data,
@@ -47,5 +53,20 @@ class TestSequenceScatterOp(OpTest):
         self.check_grad(['Updates'], 'Out', in_place=True)
 
 
+class TestSequenceScatterOpSeqLen0(TestSequenceScatterOp):
+    def init_lod(self):
+        return [[6, 0, 6]]
+
+
+class TestSequenceScatterOpSeqLen0Case1(TestSequenceScatterOp):
+    def init_lod(self):
+        return [[0, 6, 6]]
+
+
+class TestSequenceScatterOpSeqLen0Case2(TestSequenceScatterOp):
+    def init_lod(self):
+        return [[6, 6, 0]]
+
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_slice_op.py b/python/paddle/fluid/tests/unittests/test_sequence_slice_op.py
index 1561490087330c9af3ea3e384bf735eaa268a749..9c5492b5b15c1ddbe61e5840b5075ba1c010f0d8 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_slice_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_slice_op.py
@@ -59,5 +59,29 @@ class TestSequenceSliceOp(OpTest):
         self.check_grad(['X'], 'Out')
 
 
+class TestSequenceSliceOpSeqlen0Case0(TestSequenceSliceOp):
+    def init_test_case(self):
+        self.x_dim = (100, 3, 2)
+        self.x_lod = [[20, 30, 0, 30, 20]]
+        self.offset = [[1], [2], [0], [4], [5]]
+        self.length = [[10], [8], [0], [4], [2]]
+
+
+class TestSequenceSliceOpSeqlen0Case1(TestSequenceSliceOp):
+    def init_test_case(self):
+        self.x_dim = (100, 3, 2)
+        self.x_lod = [[0, 70, 0, 30, 0]]
+        self.offset = [[0], [2], [0], [4], [0]]
+        self.length = [[0], [8], [0], [4], [0]]
+
+
+class TestSequenceSliceOpSeqlen0Case2(TestSequenceSliceOp):
+    def init_test_case(self):
+        self.x_dim = (100, 3, 2)
+        self.x_lod = [[0, 100, 0, 0, 0]]
+        self.offset = [[0], [2], [0], [0], [0]]
+        self.length = [[0], [8], [0], [0], [0]]
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_softmax_op.py b/python/paddle/fluid/tests/unittests/test_sequence_softmax_op.py
index 3e00e7d95f63ea652ea1964eb792f9393ffa5994..154a53ee84d2014835b3caf901b62eb8629da753 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_softmax_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_softmax_op.py
@@ -28,21 +28,26 @@ class TestSequenceSoftmaxOp(OpTest):
         self.init_op_type()
 
         x = np.random.uniform(0.1, 1, (11, 1)).astype("float32")
-        lod = [[4, 1, 3, 3]]
-
+        self.init_lod()
         out = np.zeros((11, 1)).astype("float32")
         offset = 0
-        for i in range(len(lod[0])):
-            sub_x = x[offset:offset + lod[0][i], :]
-            sub_x = sub_x.reshape(1, lod[0][i])
+        for i in range(len(self.lod[0])):
+            if (self.lod[0][i] == 0):
+                continue
+            sub_x = x[offset:offset + self.lod[0][i], :]
+            sub_x = sub_x.reshape(1, self.lod[0][i])
             sub_out = stable_softmax(sub_x)
-            out[offset:offset + lod[0][i], :] = sub_out.reshape(lod[0][i], 1)
-            offset += lod[0][i]
+            out[offset:offset + self.lod[0][i], :] = sub_out.reshape(
+                self.lod[0][i], 1)
+            offset += self.lod[0][i]
 
-        self.inputs = {"X": (x, lod)}
+        self.inputs = {"X": (x, self.lod)}
         self.outputs = {"Out": out}
         self.attrs = {'use_cudnn': self.use_cudnn, }
 
+    def init_lod(self):
+        self.lod = [[4, 1, 3, 3]]
+
     def init_op_type(self):
         pass
 
@@ -70,5 +75,20 @@ class TestSequenceSoftmaxCUDNNOp(TestSequenceSoftmaxOp):
         self.use_cudnn = True
 
 
+class TestSequenceSoftmaxOpSeqLen0Case0(TestSequenceSoftmaxOp):
+    def init_lod(self):
+        self.lod = [[4, 0, 4, 3]]
+
+
+class TestSequenceSoftmaxOpSeqLen0Case1(TestSequenceSoftmaxOp):
+    def init_lod(self):
+        self.lod = [[0, 4, 7, 0]]
+
+
+class TestSequenceSoftmaxOpSeqLen0Case2(TestSequenceSoftmaxOp):
+    def init_lod(self):
+        self.lod = [[0, 0, 0, 11]]
+
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_sequence_unpad_op.py b/python/paddle/fluid/tests/unittests/test_sequence_unpad_op.py
index 673b0ea180464b8b8f6f5c6e76d5c5c80f347d25..0e65108c717d55e89de2789401c51a2c61ad1240 100644
--- a/python/paddle/fluid/tests/unittests/test_sequence_unpad_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sequence_unpad_op.py
@@ -71,5 +71,19 @@ class TestSequenceUnpadOp3(TestSequenceUnpadOp):
         self.dtype = "float64"
 
 
+class TestSequenceUnpadOp4(TestSequenceUnpadOp):
+    def init(self):
+        self.length = [5, 0, 0, 4]
+        self.x_shape = (4, 5, 3, 3, 6)
+        self.dtype = "float64"
+
+
+class TestSequenceUnpadOp4(TestSequenceUnpadOp):
+    def init(self):
+        self.length = [0, 4, 3, 0]
+        self.x_shape = (4, 5, 3, 3, 6)
+        self.dtype = "float64"
+
+
 if __name__ == '__main__':
     unittest.main()