diff --git a/paddle/phi/kernels/gpu/logsumexp_grad_kernel.cu b/paddle/phi/kernels/gpu/logsumexp_grad_kernel.cu
index 490b3e9404561..0599c7e4f06a0 100644
--- a/paddle/phi/kernels/gpu/logsumexp_grad_kernel.cu
+++ b/paddle/phi/kernels/gpu/logsumexp_grad_kernel.cu
@@ -15,8 +15,16 @@
 #include "paddle/phi/kernels/logsumexp_grad_kernel.h"
 
 #include "paddle/phi/backends/cpu/cpu_context.h"
+#include "paddle/phi/common/float16.h"
 #include "paddle/phi/core/kernel_registry.h"
 #include "paddle/phi/kernels/impl/logsumexp_grad_kernel_impl.h"
 
-PD_REGISTER_KERNEL(
-    logsumexp_grad, GPU, ALL_LAYOUT, phi::LogsumexpGradKernel, float, double) {}
+using float16 = phi::dtype::float16;
+
+PD_REGISTER_KERNEL(logsumexp_grad,
+                   GPU,
+                   ALL_LAYOUT,
+                   phi::LogsumexpGradKernel,
+                   float,
+                   double,
+                   float16) {}
diff --git a/paddle/phi/kernels/gpu/logsumexp_kernel.cu b/paddle/phi/kernels/gpu/logsumexp_kernel.cu
index 18249ff3bafb0..7963808476ded 100644
--- a/paddle/phi/kernels/gpu/logsumexp_kernel.cu
+++ b/paddle/phi/kernels/gpu/logsumexp_kernel.cu
@@ -15,8 +15,11 @@
 #include "paddle/phi/kernels/logsumexp_kernel.h"
 
 #include "paddle/phi/backends/cpu/cpu_context.h"
+#include "paddle/phi/common/float16.h"
 #include "paddle/phi/core/kernel_registry.h"
 #include "paddle/phi/kernels/impl/logsumexp_kernel_impl.h"
 
+using float16 = phi::dtype::float16;
+
 PD_REGISTER_KERNEL(
-    logsumexp, GPU, ALL_LAYOUT, phi::LogsumexpKernel, float, double) {}
+    logsumexp, GPU, ALL_LAYOUT, phi::LogsumexpKernel, float, double, float16) {}
diff --git a/paddle/phi/kernels/impl/logsumexp_grad_kernel_impl.h b/paddle/phi/kernels/impl/logsumexp_grad_kernel_impl.h
index 23e4414858a78..7e5b5ca4f8d4e 100644
--- a/paddle/phi/kernels/impl/logsumexp_grad_kernel_impl.h
+++ b/paddle/phi/kernels/impl/logsumexp_grad_kernel_impl.h
@@ -16,6 +16,7 @@
 #include <type_traits>
 #include <vector>
 
+#include "paddle/phi/common/amp_type_traits.h"
 #include "paddle/phi/kernels/funcs/eigen/common.h"
 #include "paddle/phi/kernels/funcs/eigen/eigen_function.h"
 #include "paddle/phi/kernels/funcs/reduce_grad_functions.h"
@@ -23,6 +24,7 @@
 
 namespace phi {
 
+template <typename T>
 struct LogsumexpGradFunctor {
   template <typename Context,
             typename X,
@@ -37,7 +39,13 @@ struct LogsumexpGradFunctor {
                   DY* dy,
                   const Dim& dim,
                   int size) {
-    dx->device(place) = dy->broadcast(dim) * (*x - y->broadcast(dim)).exp();
+    using MT = typename phi::dtype::MPTypeTrait<T>::Type;
+    auto x_mt = (*x).template cast<MT>();
+    auto y_mt = (*y).template cast<MT>();
+    auto dy_mt = (*dy).template cast<MT>();
+    dx->device(place) =
+        (dy_mt.broadcast(dim) * (x_mt - y_mt.broadcast(dim)).exp())
+            .template cast<T>();
   }
 };
 
@@ -62,11 +70,11 @@ void LogsumexpGradKernel(const Context& dev_ctx,
     auto dx = phi::EigenVector<T>::Flatten(*in_grad);
     auto& place = *dev_ctx.eigen_device();
     auto broadcast_dim = Eigen::array<int, 1>({{static_cast<int>(in.numel())}});
-    LogsumexpGradFunctor()(
+    LogsumexpGradFunctor<T>()(
         place, &x, &y, &dx, &dy, broadcast_dim, broadcast_dim[0]);
   } else {
     int rank = in.dims().size();
-    LogsumexpGradFunctor functor;
+    LogsumexpGradFunctor<T> functor;
     std::vector<int32_t> axis32;
     axis32.reserve(axis.size());
     std::for_each(axis.begin(), axis.end(), [&axis32](const int64_t& t) {
@@ -74,21 +82,26 @@ void LogsumexpGradKernel(const Context& dev_ctx,
     });
     switch (rank) {
       case 1:
-        phi::funcs::ReduceGradFunctor<Context, T, 1, LogsumexpGradFunctor>(
+        phi::funcs::ReduceGradFunctor<Context, T, 1, LogsumexpGradFunctor<T>>(
             dev_ctx, in, out, out_grad, in_grad, functor, axis32);
         break;
       case 2:
-        phi::funcs::ReduceGradFunctor<Context, T, 2, LogsumexpGradFunctor>(
+        phi::funcs::ReduceGradFunctor<Context, T, 2, LogsumexpGradFunctor<T>>(
             dev_ctx, in, out, out_grad, in_grad, functor, axis32);
         break;
       case 3:
-        phi::funcs::ReduceGradFunctor<Context, T, 3, LogsumexpGradFunctor>(
+        phi::funcs::ReduceGradFunctor<Context, T, 3, LogsumexpGradFunctor<T>>(
             dev_ctx, in, out, out_grad, in_grad, functor, axis32);
         break;
       case 4:
-        phi::funcs::ReduceGradFunctor<Context, T, 4, LogsumexpGradFunctor>(
+        phi::funcs::ReduceGradFunctor<Context, T, 4, LogsumexpGradFunctor<T>>(
             dev_ctx, in, out, out_grad, in_grad, functor, axis32);
         break;
+      default:
+        PADDLE_THROW(phi::errors::Unimplemented(
+            "Unsupported dimensions, please keep maximum dimensions of input "
+            "data less than 4."));
+        break;
     }
   }
 }
diff --git a/paddle/phi/kernels/impl/logsumexp_kernel_impl.h b/paddle/phi/kernels/impl/logsumexp_kernel_impl.h
index 7c2eadcb7df78..30a118a1317ba 100644
--- a/paddle/phi/kernels/impl/logsumexp_kernel_impl.h
+++ b/paddle/phi/kernels/impl/logsumexp_kernel_impl.h
@@ -16,6 +16,7 @@
 #include <type_traits>
 #include <vector>
 
+#include "paddle/phi/common/amp_type_traits.h"
 #include "paddle/phi/kernels/funcs/eigen/common.h"
 #include "paddle/phi/kernels/funcs/eigen/eigen_function.h"
 #include "paddle/phi/kernels/funcs/reduce_function.h"
@@ -23,15 +24,17 @@
 
 namespace phi {
 
-#define HANDLE_DIM(NDIM, RDIM)                                      \
-  if (ndim == NDIM && rdim == RDIM) {                               \
-    funcs::ReduceFunctor<Context, T, NDIM, RDIM, LogsumexpFunctor>( \
-        dev_ctx, x, out, axis, keepdim);                            \
+#define HANDLE_DIM(NDIM, RDIM)                                         \
+  if (ndim == NDIM && rdim == RDIM) {                                  \
+    funcs::ReduceFunctor<Context, T, NDIM, RDIM, LogsumexpFunctor<T>>( \
+        dev_ctx, x, out, axis, keepdim);                               \
   }
 
+template <typename T>
 struct LogsumexpFunctor {
   template <typename Context, typename X, typename Y, typename Dim>
   void operator()(const Context& place, X* x, Y* y, const Dim& dim) {
+    using MT = typename phi::dtype::MPTypeTrait<T>::Type;
     auto x_dim = x->dimensions();
     auto t_dim = x_dim;
     for (int i = 0; i < static_cast<int>(dim.size()); i++) {
@@ -46,12 +49,14 @@ struct LogsumexpFunctor {
       r_dim[dim[i]] = x_dim[dim[i]];
     }
 
+    auto x_mt = (*x).template cast<MT>();
     auto y_dim = y->dimensions();
-    auto x_max = x->maximum(dim);
+    auto x_max = x_mt.maximum(dim);
     y->device(place) =
         (x_max +
-         (*x - x_max.reshape(t_dim).broadcast(r_dim)).exp().sum(dim).log())
-            .reshape(y_dim);
+         (x_mt - x_max.reshape(t_dim).broadcast(r_dim)).exp().sum(dim).log())
+            .reshape(y_dim)
+            .template cast<T>();
   }
 };
 
@@ -74,10 +79,16 @@ void LogsumexpKernel(const Context& dev_ctx,
     auto output = phi::EigenScalar<T>::From(*out);
     auto& place = *dev_ctx.eigen_device();
     auto reduce_dim = Eigen::array<int, 1>({{0}});
-    LogsumexpFunctor()(place, &input, &output, reduce_dim);
+    LogsumexpFunctor<T>()(place, &input, &output, reduce_dim);
   } else {
     int ndim = input_dim_size;
     int rdim = axis.size();
+    if (ndim > 4) {
+      PADDLE_THROW(phi::errors::Unimplemented(
+          "Unsupported dimensions, please keep maximum dimensions of input "
+          "data less than 4."));
+    }
+
     // comments for accelerating compiling temporarily.
     // HANDLE_DIM(6, 5);
     // HANDLE_DIM(6, 4);
diff --git a/python/paddle/fluid/tests/unittests/test_logsumexp.py b/python/paddle/fluid/tests/unittests/test_logsumexp.py
index 922349cab36db..ca732d6b0a766 100644
--- a/python/paddle/fluid/tests/unittests/test_logsumexp.py
+++ b/python/paddle/fluid/tests/unittests/test_logsumexp.py
@@ -15,6 +15,7 @@
 import paddle
 import unittest
 import numpy as np
+import paddle.fluid.core as core
 from op_test import OpTest
 
 
@@ -35,6 +36,22 @@ def logsumexp_wrapper(x, axis=None, keepdim=False, allreduce=False):
     return paddle.logsumexp(x, axis, keepdim)
 
 
+def logsumexp_op_grad(x, axis=None, keepdim=False, reduce_all=False):
+    paddle.disable_static()
+    tensor_x = paddle.to_tensor(x)
+    tensor_x.stop_gradient = False
+    out = logsumexp_wrapper(tensor_x, axis, keepdim, reduce_all)
+    grad = paddle.grad(out, [tensor_x])
+    x_grad = grad[0].numpy()
+    paddle.enable_static()
+    return x_grad
+
+
+def logsumexp_ref_grad(x):
+    sum = np.exp(x).sum()
+    return np.exp(x) / sum
+
+
 class TestLogsumexp(OpTest):
 
     def setUp(self):
@@ -125,6 +142,47 @@ def set_attrs_addition(self):
             self.user_defined_grad_outputs = [np.ones(1, dtype=self.dtype)]
 
 
+class TestLogsumexp_FP32(TestLogsumexp):
+
+    def set_attrs(self):
+        self.dtype = 'float32'
+
+    def test_check_grad(self):
+        self.__class__.dtype = self.dtype
+        x_grad = logsumexp_op_grad(self.inputs['X'])
+        ref_x_grad = logsumexp_ref_grad(self.inputs['X'])
+        np.testing.assert_allclose(x_grad, ref_x_grad, rtol=1e-08, atol=1e-08)
+
+
+@unittest.skipIf(not core.is_compiled_with_cuda(),
+                 "core is not compiled with CUDA")
+class TestLogsumexp_FP16(TestLogsumexp):
+
+    def set_attrs(self):
+        self.dtype = 'float16'
+
+    def test_check_output(self):
+        ref_x = self.inputs['X'].astype(np.float32)
+        out_ref = ref_logsumexp(ref_x)
+        paddle.disable_static()
+        x = self.inputs['X'].astype(np.float16)
+        tensor_x = paddle.to_tensor(x)
+        out_pad = logsumexp_wrapper(tensor_x)
+        paddle.enable_static()
+        np.testing.assert_allclose(out_pad.numpy(),
+                                   out_ref,
+                                   rtol=1e-03,
+                                   atol=1e-08)
+
+    def test_check_grad(self):
+        self.__class__.dtype = self.dtype
+        ref_x = self.inputs['X'].astype(np.float32)
+        ref_x_grad = logsumexp_ref_grad(ref_x)
+        x = self.inputs['X'].astype(np.float16)
+        x_grad = logsumexp_op_grad(x)
+        np.testing.assert_allclose(x_grad, ref_x_grad, rtol=1e-03, atol=1e-05)
+
+
 class TestLogsumexpError(unittest.TestCase):
 
     def test_errors(self):