diff --git a/paddle/fluid/operators/math/depthwise_conv.cu b/paddle/fluid/operators/math/depthwise_conv.cu
index 3be389912307f7aac6dda6d1018943eb8f08696d..66d37c3bf31ffa420cc527cb576dcdc5505a0960 100644
--- a/paddle/fluid/operators/math/depthwise_conv.cu
+++ b/paddle/fluid/operators/math/depthwise_conv.cu
@@ -46,17 +46,20 @@ __forceinline__ __device__ unsigned warp_id() {
   return ret;
 }
 
+#define ARG_DEFINE_KernelDepthwiseConv                                         \
+  const T *const input_data, const T *const filter_data, const int batch_size, \
+      const int output_channels, const int output_height,                      \
+      const int output_width, const int input_channels,                        \
+      const int input_height, const int input_width,                           \
+      const int filter_multiplier, const int filter_height,                    \
+      const int filter_width, const int stride_height, const int stride_width, \
+      const int padding_height, const int padding_width,                       \
+      const int dilate_height, const int dilate_width, T *const output_data
+
 // A Cuda kernel to compute the depthwise convolution forward pass
 // in NCHW format.
 template <typename T>
-__device__ __inline__ void KernelDepthwiseConv(
-    const T* const input_data, const T* const filter_data, const int batch_size,
-    const int output_channels, const int output_height, const int output_width,
-    const int input_channels, const int input_height, const int input_width,
-    const int filter_multiplier, const int filter_height,
-    const int filter_width, const int stride_height, const int stride_width,
-    const int padding_height, const int padding_width, const int dilate_height,
-    const int dilate_width, T* const output_data) {
+__device__ __inline__ void KernelDepthwiseConv(ARG_DEFINE_KernelDepthwiseConv) {
   for (int w_out = threadIdx.x; w_out < output_width; w_out += blockDim.x) {
     for (int h_out = threadIdx.y; h_out < output_height; h_out += blockDim.y) {
       const int batch = blockIdx.y;
@@ -97,42 +100,105 @@ __device__ __inline__ void KernelDepthwiseConv(
   }
 }
 
-template <typename T, int c_filter_multiplier, int c_stride>
-__global__ void KernelDepthwiseConvSp(
-    const T* const input_data, const T* const filter_data, const int batch_size,
-    const int output_channels, const int output_height, const int output_width,
-    const int input_channels, const int input_height, const int input_width,
-    const int filter_multiplier, const int filter_height,
-    const int filter_width, const int stride_height, const int stride_width,
-    const int padding_height, const int padding_width, const int dilate_height,
-    const int dilate_width, T* const output_data) {
-  if (c_filter_multiplier == 0)
-    KernelDepthwiseConv<T>(input_data, filter_data, batch_size, output_channels,
-                           output_height, output_width, input_channels,
-                           input_height, input_width, filter_multiplier,
-                           filter_height, filter_width, stride_height,
-                           stride_width, padding_height, padding_width,
-                           dilate_height, dilate_width, output_data);
+template <typename T, int c_filter>
+__device__ __inline__ void KernelDepthwiseConvCFilter(
+    ARG_DEFINE_KernelDepthwiseConv) {
+  const int kWeghtSize = c_filter * c_filter;
+  T r_weight[kWeghtSize];
+  const int batch = blockIdx.y;
+  const int c_out = blockIdx.x;
+  const T* weight = filter_data + c_out * c_filter * c_filter;
+  for (int i = 0; i < c_filter * c_filter; i++) r_weight[i] = weight[i];
 
-  else
-    KernelDepthwiseConv<T>(input_data, filter_data, batch_size, output_channels,
-                           output_height, output_width, input_channels,
-                           input_height, input_width, c_filter_multiplier,
-                           filter_height, filter_height, c_stride, c_stride,
-                           padding_height, padding_width, dilate_height,
-                           dilate_width, output_data);
+  for (int w_out = threadIdx.x; w_out < output_width; w_out += blockDim.x) {
+    for (int h_out = threadIdx.y; h_out < output_height; h_out += blockDim.y) {
+      const int batch = blockIdx.y;
+      const int c_out = blockIdx.x;
+
+      const int c_in = c_out / filter_multiplier;
+      T value = 0;
+      const int h_in_start = -padding_height + h_out * stride_height;
+      const int w_in_start = -padding_width + w_out * stride_width;
+      const int h_in_end = h_in_start + c_filter * dilate_height;
+      const int w_in_end = w_in_start + c_filter * dilate_width;
+
+      const int in_offset =
+          ((batch * input_channels + c_in) * input_height) * input_width;
+
+      const int h_end = h_in_end < input_height ? h_in_end : input_height;
+      const int w_end = w_in_end < input_width ? w_in_end : input_width;
+      const int h_start = h_in_start > 0 ? h_in_start : 0;
+      const int w_start = w_in_start > 0 ? w_in_start : 0;
+
+      for (int h_in = h_in_start, h_f = 0; h_f < c_filter;
+           h_in += dilate_height, h_f++) {
+        for (int w_in = w_in_start, w_f = 0; w_f < c_filter;
+             w_in += dilate_width, w_f++) {
+          if (h_in >= 0 && h_in < input_height && w_in >= 0 &&
+              w_in < input_width) {
+            const int offset = in_offset + h_in * input_width + w_in;
+            value += r_weight[h_f * c_filter + w_f] * input_data[offset];
+          }
+        }
+      }
+      int index =
+          ((batch * gridDim.x + c_out) * output_height + h_out) * output_width +
+          w_out;
+      output_data[index] = value;
+    }
+  }
+}
+
+template <typename T, int c_filter_multiplier, int c_stride, int c_filter>
+__global__ void KernelDepthwiseConvSp(ARG_DEFINE_KernelDepthwiseConv) {
+  if (c_filter_multiplier == 0) {
+    if (c_filter == -1)
+      KernelDepthwiseConv<T>(
+          input_data, filter_data, batch_size, output_channels, output_height,
+          output_width, input_channels, input_height, input_width,
+          filter_multiplier, filter_height, filter_width, stride_height,
+          stride_width, padding_height, padding_width, dilate_height,
+          dilate_width, output_data);
+    else
+      KernelDepthwiseConvCFilter<T, c_filter>(
+          input_data, filter_data, batch_size, output_channels, output_height,
+          output_width, input_channels, input_height, input_width,
+          filter_multiplier, filter_height, filter_width, stride_height,
+          stride_width, padding_height, padding_width, dilate_height,
+          dilate_width, output_data);
+  } else {
+    if (c_filter == -1)
+      KernelDepthwiseConv<T>(input_data, filter_data, batch_size,
+                             output_channels, output_height, output_width,
+                             input_channels, input_height, input_width,
+                             c_filter_multiplier, filter_height, filter_height,
+                             c_stride, c_stride, padding_height, padding_width,
+                             dilate_height, dilate_width, output_data);
+    else
+      KernelDepthwiseConvCFilter<T, c_filter>(
+          input_data, filter_data, batch_size, output_channels, output_height,
+          output_width, input_channels, input_height, input_width,
+          c_filter_multiplier, filter_height, filter_height, c_stride, c_stride,
+          padding_height, padding_width, dilate_height, dilate_width,
+          output_data);
+  }
 }
 
 // CUDA kernel to compute the depthwise convolution backprop w.r.t input.
+#define ARG_DEFINE_KernelDepthwiseConvInputGrad                                \
+  const T *const output_grad_data, const T *const filter_data,                 \
+      const int batch_size, const int output_channels,                         \
+      const int output_height, const int output_width,                         \
+      const int input_channels, const int input_height, const int input_width, \
+      const int filter_multiplier, const int filter_height,                    \
+      const int filter_width, const int stride_height, const int stride_width, \
+      const int padding_height, const int padding_width,                       \
+      const int dilate_height, const int dilate_width,                         \
+      T *const input_grad_data
+
 template <typename T>
 __device__ __inline__ void KernelDepthwiseConvInputGrad(
-    const T* const output_grad_data, const T* const filter_data,
-    const int batch_size, const int output_channels, const int output_height,
-    const int output_width, const int input_channels, const int input_height,
-    const int input_width, const int filter_multiplier, const int filter_height,
-    const int filter_width, const int stride_height, const int stride_width,
-    const int padding_height, const int padding_width, const int dilate_height,
-    const int dilate_width, T* const input_grad_data) {
+    ARG_DEFINE_KernelDepthwiseConvInputGrad) {
   for (int w_in = threadIdx.x; w_in < input_width; w_in += blockDim.x) {
     for (int h_in = threadIdx.y; h_in < input_height; h_in += blockDim.y) {
       const int batch = blockIdx.y;
@@ -184,15 +250,67 @@ __device__ __inline__ void KernelDepthwiseConvInputGrad(
   }
 }
 
-template <typename T, int c_filter_multiplier, int c_stride>
+template <typename T, int c_filter, int c_filter_multiplier>
+__device__ __inline__ void KernelDepthwiseConvInputGradCFilter(
+    ARG_DEFINE_KernelDepthwiseConvInputGrad) {
+  const int kWeghtSize = c_filter * c_filter * c_filter_multiplier + 1;
+  T r_weight[kWeghtSize];
+  const int batch = blockIdx.y;
+  const int c_in = blockIdx.x;
+
+  for (int c_i = 0; c_i < filter_multiplier; c_i++) {
+    int c_out = c_in * filter_multiplier + c_i;
+    const T* weight = filter_data + c_out * c_filter * c_filter;
+    for (int i = 0; i < c_filter * c_filter; i++)
+      r_weight[i + c_i * c_filter * c_filter] =
+          weight[c_filter * c_filter - i - 1];
+  }
+
+  for (int w_in = threadIdx.x; w_in < input_width; w_in += blockDim.x) {
+    for (int h_in = threadIdx.y; h_in < input_height; h_in += blockDim.y) {
+      const int batch = blockIdx.y;
+      const int c_in = blockIdx.x;
+
+      int h_out_start = h_in - (c_filter - 1) * dilate_height + padding_height;
+
+      int w_out_start = w_in - (c_filter - 1) * dilate_width + padding_width;
+
+      T value = 0;
+
+      for (int c_i = 0; c_i < filter_multiplier; c_i++) {
+        int c_out = c_in * filter_multiplier + c_i;
+        for (int h_out = h_out_start, h_f = 0; h_f < c_filter;
+             h_out += dilate_height, h_f++) {
+          for (int w_out = w_out_start, w_f = 0; w_f < c_filter;
+               w_out += dilate_width, w_f++) {
+            int s_h_out = h_out / stride_height;
+            int s_w_out = w_out / stride_width;
+            if (h_out % stride_height == 0 && w_out % stride_width == 0 &&
+                s_h_out >= 0 && s_h_out < output_height && s_w_out >= 0 &&
+                s_w_out < output_width) {
+              const int output_grad_offset =
+                  ((batch * output_channels + c_out) * output_height +
+                   s_h_out) *
+                      output_width +
+                  s_w_out;
+              value +=
+                  output_grad_data[output_grad_offset] *
+                  r_weight[h_f * c_filter + w_f + c_i * c_filter * c_filter];
+            }
+          }
+        }
+      }
+      int index =
+          ((batch * gridDim.x + c_in) * input_height + h_in) * input_width +
+          w_in;
+      input_grad_data[index] = value;
+    }
+  }
+}
+
+template <typename T, int c_filter_multiplier, int c_stride, int c_filter>
 __global__ void KernelDepthwiseConvInputGradSp(
-    const T* const output_grad_data, const T* const filter_data,
-    const int batch_size, const int output_channels, const int output_height,
-    const int output_width, const int input_channels, const int input_height,
-    const int input_width, const int filter_multiplier, const int filter_height,
-    const int filter_width, const int stride_height, const int stride_width,
-    const int padding_height, const int padding_width, const int dilate_height,
-    const int dilate_width, T* const input_grad_data) {
+    ARG_DEFINE_KernelDepthwiseConvInputGrad) {
   if (c_filter_multiplier == 0)
     KernelDepthwiseConvInputGrad<T>(
         output_grad_data, filter_data, batch_size, output_channels,
@@ -200,13 +318,20 @@ __global__ void KernelDepthwiseConvInputGradSp(
         filter_multiplier, filter_height, filter_width, stride_height,
         stride_width, padding_height, padding_width, dilate_height,
         dilate_width, input_grad_data);
-  else
+  else if (c_filter == -1)
     KernelDepthwiseConvInputGrad<T>(
         output_grad_data, filter_data, batch_size, output_channels,
         output_height, output_width, input_channels, input_height, input_width,
         c_filter_multiplier, filter_height, filter_width, c_stride, c_stride,
         padding_height, padding_width, dilate_height, dilate_width,
         input_grad_data);
+  else
+    KernelDepthwiseConvInputGradCFilter<T, c_filter, c_filter_multiplier>(
+        output_grad_data, filter_data, batch_size, output_channels,
+        output_height, output_width, input_channels, input_height, input_width,
+        c_filter_multiplier, filter_height, filter_width, c_stride, c_stride,
+        padding_height, padding_width, dilate_height, dilate_width,
+        input_grad_data);
 }
 
 // Cuda kernel to compute the depthwise convolution backprop w.r.t. filter.
@@ -325,12 +450,14 @@ class DepthwiseConvFunctor<platform::CUDADeviceContext, T> {
     dim3 threads(std::min(output_width, thread), blocks, 1);
     dim3 grid(output_channels, batch_size, 1);
     int filter_multiplier = output_channels / input_channels;
-#define check_case(c_filter_multiplier, c_stride)                            \
+#define check_case(c_filter_multiplier, c_stride, c_filter)                  \
   if (c_filter_multiplier == 0 ||                                            \
       filter_multiplier == c_filter_multiplier &&                            \
-          stride_height == stride_width && stride_height == c_stride) {      \
-    KernelDepthwiseConvSp<T, c_filter_multiplier,                            \
-                          c_stride><<<grid, threads, 0, context.stream()>>>( \
+          stride_height == stride_width && stride_height == c_stride &&      \
+          (ksize_height == ksize_width && ksize_height == c_filter ||        \
+           c_filter == -1)) {                                                \
+    KernelDepthwiseConvSp<T, c_filter_multiplier, c_stride,                  \
+                          c_filter><<<grid, threads, 0, context.stream()>>>( \
         input_data, filter_data, batch_size, output_channels, output_height, \
         output_width, input_channels, input_height, input_width,             \
         filter_multiplier, ksize_height, ksize_width, stride_height,         \
@@ -338,11 +465,17 @@ class DepthwiseConvFunctor<platform::CUDADeviceContext, T> {
         dilate_width, output_data);                                          \
     return;                                                                  \
   }
-    check_case(1, 1);
-    check_case(1, 2);
-    // NOTE(liangdun): 0,0 for other case
-    // add other case if needed, e.g. check_case(2^n,1)
-    check_case(0, 0);
+    check_case(1, 1, 3);
+    check_case(1, 1, 5);
+    check_case(1, 1, -1);
+    check_case(1, 2, 3);
+    check_case(1, 2, 5);
+    check_case(1, 2, -1);
+    check_case(0, 0, 3);
+    check_case(0, 0, 5);
+    check_case(0, 0, -1);
+// NOTE(liangdun): 0,0 for other case
+// add other case if needed, e.g. check_case(2^n,1)
 #undef check_case
   }
 };
@@ -384,13 +517,15 @@ class DepthwiseConvInputGradFunctor<platform::CUDADeviceContext, T> {
     dim3 grid(input_channels, batch_size, 1);
     int filter_multiplier = output_channels / input_channels;
 
-#define check_case(c_filter_multiplier, c_stride)                       \
+#define check_case(c_filter_multiplier, c_stride, c_filter)             \
   if (c_filter_multiplier == 0 ||                                       \
       filter_multiplier == c_filter_multiplier &&                       \
-          stride_height == stride_width && stride_height == c_stride) { \
+          stride_height == stride_width && stride_height == c_stride && \
+          (ksize_height == ksize_width && ksize_height == c_filter ||   \
+           c_filter == -1)) {                                           \
     KernelDepthwiseConvInputGradSp<                                     \
-        T, c_filter_multiplier,                                         \
-        c_stride><<<grid, threads, 0, context.stream()>>>(              \
+        T, c_filter_multiplier, c_stride,                               \
+        c_filter><<<grid, threads, 0, context.stream()>>>(              \
         output_grad_data, filter_data, batch_size, output_channels,     \
         output_height, output_width, input_channels, input_height,      \
         input_width, filter_multiplier, ksize_height, ksize_width,      \
@@ -398,11 +533,21 @@ class DepthwiseConvInputGradFunctor<platform::CUDADeviceContext, T> {
         dilate_height, dilate_width, input_grad_data);                  \
     return;                                                             \
   }
-    check_case(1, 1);
-    check_case(1, 2);
-    // NOTE(liangdun): 0,0 for other case
-    // add other case if needed, e.g. check_case(2^n,1)
-    check_case(0, 0);
+    check_case(1, 1, 3);
+    check_case(1, 1, 5);
+    check_case(1, 1, -1);
+    check_case(1, 2, 3);
+    check_case(1, 2, 5);
+    check_case(1, 2, -1);
+    check_case(2, 1, 3);
+    check_case(2, 1, 5);
+    check_case(2, 1, -1);
+    check_case(2, 2, 3);
+    check_case(2, 2, 5);
+    check_case(2, 2, -1);
+    check_case(0, 0, -1);
+// NOTE(liangdun): 0,0 for other case
+// add other case if needed, e.g. check_case(2^n,1)
 #undef check_case
   }
 };