diff --git a/paddle/phi/api/yaml/legacy_backward.yaml b/paddle/phi/api/yaml/legacy_backward.yaml
index 6736c379dfcdd107c8a836f947f2767eaca6be88..ddb2863cf48a0f59deb7bbfc5cdd0425070063a5 100755
--- a/paddle/phi/api/yaml/legacy_backward.yaml
+++ b/paddle/phi/api/yaml/legacy_backward.yaml
@@ -115,7 +115,7 @@
     func : GeneralTernaryGradInferMeta
     param : [x, scale, x]
   kernel :
-    func : batch_norm_grad_grad
+    func : batch_norm_double_grad
     data_type : x
   optional : out_mean, out_variance, grad_x_grad, grad_scale_grad, grad_bias_grad
   inplace : (grad_out -> grad_out_grad)
diff --git a/paddle/phi/kernels/cpu/batch_norm_grad_kernel.cc b/paddle/phi/kernels/cpu/batch_norm_grad_kernel.cc
index c2da486e9f7521b21f2953977738d52c2e5ddf87..9eec65e92a38f36b866a56438576004f43955528 100644
--- a/paddle/phi/kernels/cpu/batch_norm_grad_kernel.cc
+++ b/paddle/phi/kernels/cpu/batch_norm_grad_kernel.cc
@@ -662,7 +662,7 @@ PD_REGISTER_KERNEL(batch_norm_grad_raw,
                    float,
                    double) {}
 
-PD_REGISTER_KERNEL(batch_norm_grad_grad,
+PD_REGISTER_KERNEL(batch_norm_double_grad,
                    CPU,
                    ALL_LAYOUT,
                    phi::BatchNormDoubleGradKernel,
diff --git a/paddle/phi/kernels/gpu/batch_norm_grad_kernel.cu b/paddle/phi/kernels/gpu/batch_norm_grad_kernel.cu
index 3b09890e2242282fc20d0c5a5e9916ba4b65bd81..ede2458744902695974f552c87c86336b2034ef2 100644
--- a/paddle/phi/kernels/gpu/batch_norm_grad_kernel.cu
+++ b/paddle/phi/kernels/gpu/batch_norm_grad_kernel.cu
@@ -1345,14 +1345,14 @@ PD_REGISTER_KERNEL(batch_norm_grad_raw,
 #endif
 
 #ifdef PADDLE_WITH_HIP
-PD_REGISTER_KERNEL(batch_norm_grad_grad,
+PD_REGISTER_KERNEL(batch_norm_double_grad,
                    GPU,
                    ALL_LAYOUT,
                    phi::BatchNormDoubleGradKernel,
                    float,
                    double) {}
 #else
-PD_REGISTER_KERNEL(batch_norm_grad_grad,
+PD_REGISTER_KERNEL(batch_norm_double_grad,
                    GPU,
                    ALL_LAYOUT,
                    phi::BatchNormDoubleGradKernel,
diff --git a/paddle/phi/ops/compat/batch_norm_sig.cc b/paddle/phi/ops/compat/batch_norm_sig.cc
index ff7a582142513a3bc56227ed22f60538fb0843b1..5f6efcd9ce769ff9332866d4fcb7a672743c50fd 100644
--- a/paddle/phi/ops/compat/batch_norm_sig.cc
+++ b/paddle/phi/ops/compat/batch_norm_sig.cc
@@ -79,7 +79,7 @@ KernelSignature BatchNormGradOpArgumentMapping(
 
 KernelSignature BatchNormGradGradOpArgumentMapping(
     const ArgumentMappingContext& ctx) {
-  return KernelSignature("batch_norm_grad_grad",
+  return KernelSignature("batch_norm_double_grad",
                          {"X",
                           "Scale",
                           "Mean",