diff --git a/paddle/fluid/operators/group_norm_op.cu b/paddle/fluid/operators/group_norm_op.cu
index 72a90d17998d8..b376334f1e93c 100644
--- a/paddle/fluid/operators/group_norm_op.cu
+++ b/paddle/fluid/operators/group_norm_op.cu
@@ -29,6 +29,7 @@ namespace operators {
 
 using DataLayout = framework::DataLayout;
 enum GroupNormKernelFlags { kHasScale = 1, kHasBias = 2 };
+#define ALIGN_BYTES 16
 
 #define CHECK_CASE(i, flags, kernel_name, ...)                              \
   if (i == flags) {                                                         \
@@ -56,8 +57,7 @@ __device__ __inline__ void CudaAtomicAddWithWarp(T* sum, T value) {
 template <typename T>
 __global__ void GroupNormForwardGetMeanAndVar(const T* x, int N, int C, int W,
                                               int imsize, int groups,
-                                              int group_size, T* mean, T* var,
-                                              const DataLayout data_layout) {
+                                              int group_size, T* mean, T* var) {
   int gid = blockIdx.y;
   int cid = blockIdx.x;
   int bid = blockIdx.z;
@@ -68,13 +68,10 @@ __global__ void GroupNormForwardGetMeanAndVar(const T* x, int N, int C, int W,
   T x_mean = 0, x_var = 0;
   for (int imid = threadIdx.x; imid < imsize; imid += blockDim.x) {
     T val;
-    if (data_layout == DataLayout::kNCHW) {
-      val = x[(bid * C + ccid) * imsize + imid];
-    } else {
-      int hid = imid / W;
-      int wid = imid % W;
-      val = x[(bid * H + hid) * W * C + wid * C + ccid];
-    }
+    int hid = imid / W;
+    int wid = imid % W;
+    val = x[(bid * H + hid) * W * C + wid * C + ccid];
+
     x_mean += val;
     x_var += val * val;
   }
@@ -84,6 +81,85 @@ __global__ void GroupNormForwardGetMeanAndVar(const T* x, int N, int C, int W,
   CudaAtomicAddWithWarp(&var[bid * groups + gid], x_var);
 }
 
+template <typename T, typename AccT, int VecSize>
+__device__ __forceinline__ void ThreadReduce(const T* input, int size,
+                                             const int offset, AccT* mean,
+                                             AccT* var) {
+  using VecT = kps::details::VectorType<T, VecSize>;
+  int tid = threadIdx.x;
+  if (offset > 0) {
+    input -= offset;
+    size += offset;
+    if (tid >= offset) {
+      AccT temp = input[tid];
+      *mean += temp;
+      *var += temp * temp;
+    }
+    size -= blockDim.x;
+    input += blockDim.x;
+  }
+  int remain = size % (VecSize * blockDim.x);
+
+  T ins[VecSize];
+  VecT* ins_vec = reinterpret_cast<VecT*>(&ins);
+
+  // vector part
+  for (; VecSize * tid < (size - remain); tid += blockDim.x) {
+    *ins_vec = reinterpret_cast<const VecT*>(input)[tid];
+
+#pragma unroll
+    for (int i = 0; i < VecSize; ++i) {
+      AccT temp = ins[i];
+      *mean += temp;
+      *var += temp * temp;
+    }
+  }
+
+  // scalar part
+  tid = size - remain + threadIdx.x;
+  for (; tid < size; tid += blockDim.x) {
+    AccT temp = input[tid];
+    *mean += temp;
+    *var += temp * temp;
+  }
+}
+
+template <typename T>
+__global__ void ScalarGetMeanAndVarNCHW(const T* x, T* mean, T* var, int size) {
+  int i = blockIdx.x;
+  T x_mean = 0, x_var = 0;
+  for (int j = threadIdx.x; j < size; j += blockDim.x) {
+    T val;
+    val = x[i * size + j];
+    x_mean += val;
+    x_var += val * val;
+  }
+  x_mean /= size;
+  x_var /= size;
+  CudaAtomicAddWithWarp(&mean[i], x_mean);
+  CudaAtomicAddWithWarp(&var[i], x_var);
+}
+
+template <typename T, typename AccT, int VecSize>
+__global__ void VectorizedGetMeanAndVarNCHW(const T* x, T* mean, T* var,
+                                            int size) {
+  int i = blockIdx.x;
+  AccT x_mean = static_cast<AccT>(0);
+  AccT x_var = static_cast<AccT>(0);
+  const int input_offset = ((uint64_t)x) % ALIGN_BYTES / sizeof(T);
+  x += i * size;
+  ThreadReduce<T, AccT, VecSize>(x, size, input_offset, &x_mean, &x_var);
+  x_mean = kps::details::BlockXReduce<AccT, kps::AddFunctor<AccT>>(
+      x_mean, kps::AddFunctor<AccT>());
+  x_var = kps::details::BlockXReduce<AccT, kps::AddFunctor<AccT>>(
+      x_var, kps::AddFunctor<AccT>());
+  __syncthreads();
+  if (threadIdx.x == 0) {
+    mean[i] = static_cast<T>(x_mean / size);
+    var[i] = static_cast<T>(x_var / size);
+  }
+}
+
 template <typename T, int flags>
 __global__ void GroupNormForward(const T* x, const T* mean, const T* var,
                                  const T* scale, const T* bias, int N, int C,
@@ -96,26 +172,34 @@ __global__ void GroupNormForward(const T* x, const T* mean, const T* var,
   int H = imsize / W;
   int ccid = gid * group_size + cid;
   if (ccid >= C) return;
-  T x_mean = mean[bid * groups + gid];
-  T x_var = var[bid * groups + gid];
+  auto ng = bid * groups + gid;
+  T x_mean = mean[ng];
+  T x_var = var[ng];
   x_var = x_var - x_mean * x_mean;
-  T var_inv = 1.0 / sqrt(x_var + epsilon);
-  if (cid == 0 && threadIdx.x == 0) real_var[bid * groups + gid] = x_var;
+  T var_inv = rsqrt(x_var + epsilon);
+  if (cid == 0 && threadIdx.x == 0) {
+    real_var[ng] = x_var;
+  }
   for (int imid = threadIdx.x; imid < imsize; imid += blockDim.x) {
     T val;
     int hid, wid;
+    int index = (bid * C + ccid) * imsize + imid;
     if (data_layout == DataLayout::kNCHW) {
-      val = x[(bid * C + ccid) * imsize + imid];
+      val = x[index];
     } else {
       hid = imid / W;
       wid = imid % W;
       val = x[(bid * H + hid) * W * C + wid * C + ccid];
     }
     val = (val - x_mean) * var_inv;
-    if (flags & kHasScale) val *= scale[gid * group_size + cid];
-    if (flags & kHasBias) val += bias[gid * group_size + cid];
+    if (flags & kHasScale) {
+      val *= scale[ccid];
+    }
+    if (flags & kHasBias) {
+      val += bias[ccid];
+    }
     if (data_layout == DataLayout::kNCHW) {
-      y[(bid * C + ccid) * imsize + imid] = val;
+      y[index] = val;
     } else {
       y[(bid * H + hid) * W * C + wid * C + ccid] = val;
     }
@@ -182,16 +266,41 @@ class GroupNormKernel<platform::CUDADeviceContext, T>
         imsize *= x_dims[i];
       }
     }
+
 #ifdef __HIPCC__
     int block_size = std::max(std::min(256, imsize), 64);
 #else
     int block_size = std::min(1024, imsize);
 #endif
+
     dim3 grid(group_size, groups, x_dims[0]);
     dim3 threads(block_size, 1, 1);
-    GroupNormForwardGetMeanAndVar<T><<<grid, threads, 0, dev_ctx.stream()>>>(
-        x_data, x_dims[0], C, W, imsize, groups, group_size, mean_data,
-        temp_var_data, data_layout);
+    if (data_layout == DataLayout::kNCHW) {
+      using AccT = typename details::MPTypeTrait<T>::Type;
+      constexpr int vec_size = sizeof(float4) / sizeof(T);
+      int size = group_size * imsize;
+      const int max_num_threads = 1024;
+      int max_block_size = std::min(size / vec_size, max_num_threads);
+      int block_size_nchw = 1;
+      while (block_size_nchw < max_block_size) {
+        block_size_nchw *= 2;
+      }
+      block_size_nchw = std::max(block_size_nchw, kps::details::kWarpSize);
+      dim3 grids(x_dims[0] * groups);
+      dim3 blocks(block_size_nchw);
+      if (size < vec_size) {
+        ScalarGetMeanAndVarNCHW<T><<<grids, blocks, 0, dev_ctx.stream()>>>(
+            x_data, mean_data, temp_var_data, size);
+      } else {
+        VectorizedGetMeanAndVarNCHW<
+            T, AccT, vec_size><<<grids, blocks, 0, dev_ctx.stream()>>>(
+            x_data, mean_data, temp_var_data, size);
+      }
+    } else {
+      GroupNormForwardGetMeanAndVar<T><<<grid, threads, 0, dev_ctx.stream()>>>(
+          x_data, x_dims[0], C, W, imsize, groups, group_size, mean_data,
+          temp_var_data);
+    }
     int flags =
         (scale_data != nullptr) * kHasScale + (bias_data != nullptr) * kHasBias;
     UNROLL_ALL_CASES(flags, GroupNormForward, x_data, mean_data, temp_var_data,