diff --git a/paddle/phi/kernels/sparse/cpu/sparse_utils_kernel.cc b/paddle/phi/kernels/sparse/cpu/sparse_utils_kernel.cc
index 57bc85069a6eb81ff2d578373f4f4c73a5351504..1cd3086d5f74ca66ce145faff4e1a31e310521cf 100644
--- a/paddle/phi/kernels/sparse/cpu/sparse_utils_kernel.cc
+++ b/paddle/phi/kernels/sparse/cpu/sparse_utils_kernel.cc
@@ -206,7 +206,11 @@ void SparseCooToCsrCPUKernel(const CPUContext& dev_ctx,
   if (batchs > 1) {
     for (int i = 0; i < non_zero_num; i++) {
       if (i == non_zero_num - 1 || batchs_ptr[i] != batchs_ptr[i + 1]) {
-        offsets[batchs_ptr[i]] = i + 1;
+        const int start = batchs_ptr[i];
+        const int end = i == non_zero_num - 1 ? batchs : batchs_ptr[i + 1];
+        for (int j = start; j < end; j++) {
+          offsets[j] = i + 1;
+        }
       }
     }
   } else {
@@ -214,7 +218,6 @@ void SparseCooToCsrCPUKernel(const CPUContext& dev_ctx,
   }
 
   for (int b = 0; b < batchs; b++) {
-    if (offsets[b] == 0) continue;
     int batch_start = 0;
     int batch_non_zero_num = offsets[b];
     if (b > 0) {
@@ -233,6 +236,9 @@ void SparseCooToCsrCPUKernel(const CPUContext& dev_ctx,
     for (IntT i = coo_rows_ptr[batch_non_zero_num - 1] + 1; i < rows + 1; i++) {
       csr_crows_data[b * (rows + 1) + i] = batch_non_zero_num;
     }
+    if (batch_non_zero_num == 0) {
+      memset(csr_crows_data + b * (rows + 1), 0, sizeof(IntT) * (rows + 1));
+    }
   }
 
   memcpy(csr_cols_data, coo_cols_data, sizeof(IntT) * non_zero_num);
diff --git a/paddle/phi/kernels/sparse/gpu/sparse_utils_kernel.cu b/paddle/phi/kernels/sparse/gpu/sparse_utils_kernel.cu
index 94022d6392eea662fd49efddee8fa4f1d6b5730d..1ed4ebd23db87ebf353844e4b8daf029de41dba2 100644
--- a/paddle/phi/kernels/sparse/gpu/sparse_utils_kernel.cu
+++ b/paddle/phi/kernels/sparse/gpu/sparse_utils_kernel.cu
@@ -21,6 +21,7 @@ limitations under the License. */
 #include "paddle/phi/core/kernel_registry.h"
 #include "paddle/phi/core/tensor_meta.h"
 #include "paddle/phi/core/visit_type.h"
+#include "paddle/phi/kernels/funcs/math_function.h"
 #include "paddle/phi/kernels/funcs/sparse/common_shape.h"
 #include "paddle/phi/kernels/sparse/sparse_utils_kernel.h"
 
@@ -283,19 +284,24 @@ void SparseCsrToCooKernel(const Context& dev_ctx,
 
 template <typename IntT>
 __global__ void GetBatchsOffset(const IntT* batchs_ptr,
+                                const int batchs,
                                 const int non_zero_num,
-                                IntT* batchs_offset) {
+                                int* batchs_offset) {
   int tid = threadIdx.x + blockIdx.x * blockDim.x;
   for (int i = tid; i < non_zero_num; i += gridDim.x * blockDim.x) {
     if (i == non_zero_num - 1 || batchs_ptr[i] != batchs_ptr[i + 1]) {
-      batchs_offset[batchs_ptr[i]] = i + 1;
+      const int start = batchs_ptr[i];
+      const int end = i == non_zero_num - 1 ? batchs : batchs_ptr[i + 1];
+      for (int j = start; j < end; j++) {
+        batchs_offset[j] = i + 1;
+      }
     }
   }
 }
 
 template <typename IntT>
 __global__ void ConvertCooRowsToCsrCrows(
-    const IntT* batchs_offset,  // can be null if batchs = 1
+    const int* batchs_offset,  // can be null if batchs = 1
     const IntT* coo_rows_data,
     IntT* csr_crows_data,
     const int rows,
@@ -303,12 +309,12 @@ __global__ void ConvertCooRowsToCsrCrows(
   const int b = blockIdx.y;
   int batch_non_zero_num =
       batchs_offset == nullptr ? non_zero_num : batchs_offset[b];
-  if (batch_non_zero_num == 0) return;
   IntT batch_start = 0;
   if (b > 0) {
     batch_start = batchs_offset[b - 1];
     batch_non_zero_num -= batch_start;
   }
+
   const IntT* coo_rows_ptr = coo_rows_data + batch_start;
   const int tid = threadIdx.x + blockIdx.x * blockDim.x;
   for (int i = tid; i < batch_non_zero_num; i += gridDim.x * blockDim.x) {
@@ -328,6 +334,11 @@ __global__ void ConvertCooRowsToCsrCrows(
       }
     }
   }
+  if (batch_non_zero_num == 0) {
+    for (int i = tid; i < rows + 1; i += gridDim.x * blockDim.x) {
+      csr_crows_data[b * (rows + 1) + i] = 0;
+    }
+  }
 }
 
 template <typename T, typename IntT>
@@ -365,13 +376,19 @@ void SparseCooToCsrGPUKernel(const GPUContext& dev_ctx,
 
   auto config = phi::backends::gpu::GetGpuLaunchConfig1D(dev_ctx, batchs, 1);
   if (batchs > 1) {
-    phi::DenseTensor batchs_offset = phi::Empty<IntT>(dev_ctx, {batchs});
-    IntT* batchs_offset_ptr = batchs_offset.data<IntT>();
-    GetBatchsOffset<IntT>
-        <<<config.block_per_grid.x,
-           config.thread_per_block.x,
-           0,
-           dev_ctx.stream()>>>(batchs_ptr, non_zero_num, batchs_offset_ptr);
+    auto config =
+        phi::backends::gpu::GetGpuLaunchConfig1D(dev_ctx, non_zero_num, 1);
+    phi::DenseTensor batchs_offset = phi::Empty<int>(dev_ctx, {batchs});
+    int* batchs_offset_ptr = batchs_offset.data<int>();
+    phi::funcs::SetConstant<GPUContext, int> set_zero;
+    // set zero if the nnz=0 of batchs[0]
+    set_zero(dev_ctx, &batchs_offset, static_cast<IntT>(0));
+    GetBatchsOffset<IntT><<<config.block_per_grid.x,
+                            config.thread_per_block.x,
+                            0,
+                            dev_ctx.stream()>>>(
+        batchs_ptr, batchs, non_zero_num, batchs_offset_ptr);
+
     config.block_per_grid.y = batchs;
     ConvertCooRowsToCsrCrows<IntT><<<config.block_per_grid,
                                      config.thread_per_block.x,
diff --git a/python/paddle/fluid/tests/unittests/test_sparse_utils_op.py b/python/paddle/fluid/tests/unittests/test_sparse_utils_op.py
index a72757d5005bdf97f44309d1830d89582114d9c6..6cc1d9cf96cae9b0860c341efa7034ed987c0ab4 100644
--- a/python/paddle/fluid/tests/unittests/test_sparse_utils_op.py
+++ b/python/paddle/fluid/tests/unittests/test_sparse_utils_op.py
@@ -16,6 +16,7 @@ from __future__ import print_function
 import unittest
 import numpy as np
 import paddle
+from paddle.incubate import sparse
 import paddle.fluid as fluid
 import paddle.fluid.core as core
 from paddle.fluid.framework import _test_eager_guard
@@ -315,6 +316,53 @@ class TestSparseConvert(unittest.TestCase):
                     assert np.array_equal(values_sorted,
                                           sparse_x.values().numpy())
 
+    def test_batch_csr(self):
+        with _test_eager_guard():
+            shape = [3, 3, 3]
+
+            def verify(x, crows, cols, values):
+                x = paddle.to_tensor(x)
+                csr = x.to_sparse_csr()
+                assert np.allclose(crows, csr.crows().numpy())
+                assert np.allclose(cols, csr.cols().numpy())
+                assert np.allclose(values, csr.values().numpy())
+
+                dense = csr.to_dense()
+                assert np.allclose(x.numpy(), dense.numpy())
+
+            x = [
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+                [[0, 0, 0], [0, 0, 0], [0, 0, 0]],
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+            ]
+            crows = [[0, 1, 2, 3, 0, 0, 0, 0, 0, 1, 2, 3]]
+            cols = [0, 1, 2, 0, 1, 2]
+            values = [1.0, 2.0, 3.0, 1.0, 2.0, 3.0]
+
+            verify(x, crows, cols, values)
+
+            x = [
+                [[0, 0, 0], [0, 0, 0], [0, 0, 0]],
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+            ]
+            crows = [[0, 0, 0, 0, 0, 1, 2, 3, 0, 1, 2, 3]]
+            cols = [0, 1, 2, 0, 1, 2]
+            values = [1.0, 2.0, 3.0, 1.0, 2.0, 3.0]
+
+            verify(x, crows, cols, values)
+
+            x = [
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+                [[1.0, 0, 0], [0, 2.0, 0], [0, 0, 3.0]],
+                [[0, 0, 0], [0, 0, 0], [0, 0, 0]],
+            ]
+            crows = [[0, 1, 2, 3, 0, 1, 2, 3, 0, 0, 0, 0]]
+            cols = [0, 1, 2, 0, 1, 2]
+            values = [1.0, 2.0, 3.0, 1.0, 2.0, 3.0]
+
+            verify(x, crows, cols, values)
+
 
 class TestCooError(unittest.TestCase):
 
diff --git a/python/paddle/incubate/sparse/creation.py b/python/paddle/incubate/sparse/creation.py
index 74167a9527a496889f12bed5698232a9a5239c74..af5b84139f7885c36f57d75da716f26ac8744d0f 100644
--- a/python/paddle/incubate/sparse/creation.py
+++ b/python/paddle/incubate/sparse/creation.py
@@ -249,6 +249,7 @@ def sparse_csr_tensor(crows,
         raise ValueError(
             "SparseCsrTensor only support 2-D or 3-D matrix. but get shape {}".
             format(shape))
+    rows = shape[len(shape) - 2]
 
     if not crows.place._equals(place):
         crows = crows._copy_to(place, False)
@@ -268,10 +269,10 @@ def sparse_csr_tensor(crows,
         raise ValueError("the length of cols must be same as length of values")
 
     if len(shape) == 2:
-        if crows.shape[0] != shape[0] + 1:
+        if crows.shape[0] != rows + 1:
             raise ValueError(
                 "The length({}) of crows must be equal to the rows({})+1 of matrix."
-                .format(crows.shape[0], shape[0]))
+                .format(crows.shape[0], rows))
         if crows[0] != 0:
             raise ValueError("the 0th value of crows must be 0")
 
@@ -279,10 +280,10 @@ def sparse_csr_tensor(crows,
             raise ValueError(
                 "the last value of crows must be equal the number of non-zero")
     else:
-        if crows.shape[0] % (shape[0] + 1) != 0:
+        if crows.shape[0] % (rows + 1) != 0:
             raise ValueError(
                 "The length({}) of crows must be divisible the rows({})+1 of matrix."
-                .format(crows.shape[0], shape[0]))
+                .format(crows.shape[0], rows))
     # TODO(zkh2016): check whether the value in crows and cols is legal
 
     return core.eager.sparse_csr_tensor(crows, cols, values, shape,