diff --git a/paddle/phi/kernels/dist_kernel.cc b/paddle/phi/kernels/dist_kernel.cc
index ed1fa0dafe7417544db4217b7b49525b1f9e14b7..90f199531d2a47c08f641f065618788165a1d79d 100644
--- a/paddle/phi/kernels/dist_kernel.cc
+++ b/paddle/phi/kernels/dist_kernel.cc
@@ -34,7 +34,3 @@ void DistKernel(const Context& dev_ctx,
 }  // namespace phi
 
 PD_REGISTER_KERNEL(dist, CPU, ALL_LAYOUT, phi::DistKernel, float, double) {}
-
-#if defined(PADDLE_WITH_CUDA) || defined(PADDLE_WITH_HIP)
-PD_REGISTER_KERNEL(dist, GPU, ALL_LAYOUT, phi::DistKernel, float, double) {}
-#endif
diff --git a/paddle/phi/kernels/gpu/dist_kernel.cu b/paddle/phi/kernels/gpu/dist_kernel.cu
new file mode 100644
index 0000000000000000000000000000000000000000..e89a98d49e3609219525532b89c77b1ae1828831
--- /dev/null
+++ b/paddle/phi/kernels/gpu/dist_kernel.cu
@@ -0,0 +1,176 @@
+// Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "paddle/phi/kernels/dist_kernel.h"
+#include "paddle/phi/backends/gpu/gpu_launch_config.h"
+#include "paddle/phi/core/kernel_registry.h"
+#include "paddle/phi/kernels/elementwise_subtract_kernel.h"
+#include "paddle/phi/kernels/funcs/math_cuda_utils.h"
+#include "paddle/phi/kernels/gpu/reduce.h"
+#include "paddle/phi/kernels/p_norm_kernel.h"
+
+namespace phi {
+
+#define FULL_MASK 0xffffffff
+
+template <typename T>
+struct ZeroOrderFunctor {
+ public:
+  __device__ T operator()(const T& x, const T& y) const {
+    return static_cast<T>((x - y) != 0);
+  }
+};
+
+template <typename T>
+struct OtherOrderFunctor {
+  explicit OtherOrderFunctor(const T& p_order) : p_order_(p_order) {}
+  __device__ T operator()(const T& x, const T& y) const {
+    return static_cast<T>(pow(abs(x - y), p_order_));
+  }
+
+ private:
+  T p_order_;
+};
+
+template <typename T>
+struct PowFunctor {
+  explicit PowFunctor(const T& p_order) : p_order_(p_order) {}
+  HOSTDEVICE inline T operator()(const T x) const {
+    return static_cast<T>(pow(x, p_order_));
+  }
+  T p_order_;
+};
+
+template <typename T, typename Functor>
+__global__ void ReduceSumWithSubtract(
+    const T* x, const T* y, T* out, int64_t N, Functor func) {
+  T sum_val = 0;
+  for (int i = blockIdx.x * blockDim.x + threadIdx.x; i < N;
+       i += blockDim.x * gridDim.x) {
+    sum_val += func(x[i], y[i]);
+  }
+
+  __syncthreads();
+  sum_val = phi::funcs::blockReduceSum<T>(sum_val, FULL_MASK);
+  if (threadIdx.x == 0) {
+    out[blockIdx.x] = sum_val;
+  }
+}
+
+template <typename T>
+__global__ void ReduceMaxWithSubtract(const T* x,
+                                      const T* y,
+                                      T* out,
+                                      int64_t N) {
+  T max_val = -1e10f;
+  for (int i = blockIdx.x * blockDim.x + threadIdx.x; i < N;
+       i += blockDim.x * gridDim.x) {
+    max_val = max(max_val, abs(x[i] - y[i]));
+  }
+
+  __syncthreads();
+  max_val = phi::funcs::blockReduceMax<T>(max_val, FULL_MASK);
+  if (threadIdx.x == 0) {
+    out[blockIdx.x] = max_val;
+  }
+}
+
+template <typename T>
+__global__ void ReduceMinWithSubtract(const T* x,
+                                      const T* y,
+                                      T* out,
+                                      int64_t N) {
+  T min_val = 1e10f;
+  for (int i = blockIdx.x * blockDim.x + threadIdx.x; i < N;
+       i += blockDim.x * gridDim.x) {
+    min_val = min(min_val, abs(x[i] - y[i]));
+  }
+
+  __syncthreads();
+  min_val = phi::funcs::blockReduceMin(min_val, FULL_MASK);
+  if (threadIdx.x == 0) {
+    out[blockIdx.x] = min_val;
+  }
+}
+
+template <typename T, typename Context>
+void DistKernel(const Context& dev_ctx,
+                const DenseTensor& x,
+                const DenseTensor& y,
+                float p,
+                DenseTensor* out) {
+  DenseTensor intermediate;
+  const T* x_ptr = x.data<T>();
+  const T* y_ptr = y.data<T>();
+  T* o_ptr = dev_ctx.template Alloc<T>(out);
+  auto stream = dev_ctx.stream();
+
+  auto xdim = x.dims();
+  if (xdim == y.dims()) {  // same shape
+    auto n = x.numel();
+    auto config = phi::backends::gpu::GetGpuLaunchConfig1D(dev_ctx, n);
+    intermediate.Resize(phi::make_ddim({config.block_per_grid.x}));
+    T* i_ptr = dev_ctx.template Alloc<T>(&intermediate);
+
+    std::vector<int64_t> axis_dims = {static_cast<int64_t>(-1)};
+    std::vector<int> reduce_axis =
+        funcs::details::GetReduceDim(axis_dims, xdim.size(), true);
+
+    if (p == 0) {
+      ReduceSumWithSubtract<T>
+          <<<config.block_per_grid.x, config.thread_per_block.x, 0, stream>>>(
+              x_ptr, y_ptr, i_ptr, n, ZeroOrderFunctor<T>());
+      phi::funcs::ReduceKernel<T, T, kps::AddFunctor, kps::IdentityFunctor<T>>(
+          dev_ctx, intermediate, out, kps::IdentityFunctor<T>(), reduce_axis);
+
+    } else if (p == INFINITY) {
+      ReduceMaxWithSubtract<T>
+          <<<config.block_per_grid.x, config.thread_per_block.x, 0, stream>>>(
+              x_ptr, y_ptr, i_ptr, n);
+      phi::funcs::ReduceKernel<T, T, kps::MaxFunctor, kps::IdentityFunctor<T>>(
+          dev_ctx, intermediate, out, kps::IdentityFunctor<T>(), reduce_axis);
+
+    } else if (p == -INFINITY) {
+      ReduceMinWithSubtract<T>
+          <<<config.block_per_grid.x, config.thread_per_block.x, 0, stream>>>(
+              x_ptr, y_ptr, i_ptr, n);
+
+      phi::funcs::ReduceKernel<T, T, kps::MinFunctor, kps::IdentityFunctor<T>>(
+          dev_ctx, intermediate, out, kps::IdentityFunctor<T>(), reduce_axis);
+
+    } else {
+      T p_order = static_cast<T>(p);
+      ReduceSumWithSubtract<T>
+          <<<config.block_per_grid.x, config.thread_per_block.x, 0, stream>>>(
+              x_ptr, y_ptr, i_ptr, n, OtherOrderFunctor<T>(p_order));
+      phi::funcs::ReduceKernel<T, T, kps::AddFunctor, kps::IdentityFunctor<T>>(
+          dev_ctx, intermediate, out, kps::IdentityFunctor<T>(), reduce_axis);
+
+      const DenseTensor* tmp_norm = out;
+      std::vector<const DenseTensor*> ins = {tmp_norm};
+      std::vector<DenseTensor*> outs = {out};
+      T p_order_ = static_cast<T>(1. / p_order);
+      phi::funcs::ElementwiseKernel<T>(
+          dev_ctx, ins, &outs, PowFunctor<T>(p_order_));
+    }
+
+  } else {
+    auto t = Subtract<T, Context>(dev_ctx, x, y);
+    PNormKernel<T, Context>(dev_ctx, t, p, -1, 1e-12, false, true, out);
+  }
+}
+
+}  // namespace phi
+
+PD_REGISTER_KERNEL(dist, GPU, ALL_LAYOUT, phi::DistKernel, float, double) {}