diff --git a/paddle/fluid/framework/new_executor/interpreter/interpreter_util.cc b/paddle/fluid/framework/new_executor/interpreter/interpreter_util.cc
index 2e1e8cf876379e9c88850b8a800eca83d28799f9..c3ef045412933b1e1ab6e06e5e78294c4a91867f 100644
--- a/paddle/fluid/framework/new_executor/interpreter/interpreter_util.cc
+++ b/paddle/fluid/framework/new_executor/interpreter/interpreter_util.cc
@@ -81,7 +81,6 @@ static std::set<std::string> OpsNeedSetOutputDtypeWhenRegisterPhiKernel = {
     "histogram",
     "instance_norm",
     "is_empty",
-    "is_finite",
     "kthvalue",
     "lamb",
     "layer_norm",
diff --git a/paddle/phi/kernels/cpu/isfinite_kernel.cc b/paddle/phi/kernels/cpu/isfinite_kernel.cc
index e3cc3c83598fce9c8e95f958ca962a0771298de1..85d125794871d327d0150b5dd475487652eb3775 100644
--- a/paddle/phi/kernels/cpu/isfinite_kernel.cc
+++ b/paddle/phi/kernels/cpu/isfinite_kernel.cc
@@ -26,7 +26,9 @@ PD_REGISTER_KERNEL(isinf,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
 
 PD_REGISTER_KERNEL(isnan,
                    CPU,
@@ -36,7 +38,9 @@ PD_REGISTER_KERNEL(isnan,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
 
 PD_REGISTER_KERNEL(isfinite,
                    CPU,
@@ -46,4 +50,6 @@ PD_REGISTER_KERNEL(isfinite,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
diff --git a/paddle/phi/kernels/gpu/isfinite_kernel.cu b/paddle/phi/kernels/gpu/isfinite_kernel.cu
index c7dde29101b5d5f7dd5125069e3edefe8c21a6b2..e8c2fa022ec7a56819a4e611b6c9e365953b7dfc 100644
--- a/paddle/phi/kernels/gpu/isfinite_kernel.cu
+++ b/paddle/phi/kernels/gpu/isfinite_kernel.cu
@@ -26,7 +26,9 @@ PD_REGISTER_KERNEL(isinf,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
 
 PD_REGISTER_KERNEL(isnan,
                    GPU,
@@ -36,7 +38,9 @@ PD_REGISTER_KERNEL(isnan,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
 
 PD_REGISTER_KERNEL(isfinite,
                    GPU,
@@ -46,4 +50,6 @@ PD_REGISTER_KERNEL(isfinite,
                    double,
                    phi::dtype::float16,
                    int,
-                   int64_t) {}
+                   int64_t) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}
diff --git a/paddle/phi/kernels/xpu/isfinite_kernel.cc b/paddle/phi/kernels/xpu/isfinite_kernel.cc
index 27013496600d9a9a9e79f9acee1a188b005e5e59..0639a5907fc357cb46311e6aef79112ce7ae7f17 100644
--- a/paddle/phi/kernels/xpu/isfinite_kernel.cc
+++ b/paddle/phi/kernels/xpu/isfinite_kernel.cc
@@ -34,4 +34,6 @@ void IsnanKernel(const Context& ctx, const DenseTensor& x, DenseTensor* out) {
 }  // namespace phi
 
 PD_REGISTER_KERNEL(
-    isnan, XPU, ALL_LAYOUT, phi::IsnanKernel, float, phi::dtype::float16) {}
+    isnan, XPU, ALL_LAYOUT, phi::IsnanKernel, float, phi::dtype::float16) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::BOOL);
+}