diff --git a/paddle/fluid/operators/activation_op_xpu.cc b/paddle/fluid/operators/activation_op_xpu.cc
index 0e7136b9f6ce8fd59e031c23c3b4e5b94b0a300d..fbd2cc49263ee6d5128bd654ab185b2be7d179f7 100644
--- a/paddle/fluid/operators/activation_op_xpu.cc
+++ b/paddle/fluid/operators/activation_op_xpu.cc
@@ -1,4 +1,4 @@
-/* Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
+/* 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.
@@ -358,6 +358,52 @@ struct XPULeakyReluGradFunctor : public BaseActivationFunctor<T> {
   }
 };
 
+template <typename T>
+struct XPULogGradFunctor : public BaseActivationFunctor<T> {
+  using XPUType = typename XPUTypeTrait<T>::Type;
+  void operator()(const framework::ExecutionContext &ctx) const {
+    const auto *x = ctx.Input<Tensor>("X");
+    auto *dOut = ctx.Input<framework::Tensor>(framework::GradVarName("Out"));
+    auto *dX = ctx.Output<framework::Tensor>(framework::GradVarName("X"));
+    const T *x_data = nullptr;
+    const T *y_grad = nullptr;
+    if (x != nullptr) x_data = x->data<T>();
+    if (dOut != nullptr) y_grad = dOut->data<T>();
+    T *x_grad = dX->mutable_data<T>(ctx.GetPlace());
+    auto dev_ctx =
+        ctx.device_context<paddle::platform::XPUDeviceContext>().x_context();
+    const auto x_dims = x->dims();
+    auto xshape = phi::vectorize<int>(x_dims);
+    int len = x->dims()[x_dims.size() - 1];
+    std::vector<int> yshape(1, len);
+
+    xpu::ctx_guard RAII_GUARD(dev_ctx);
+    T *y_data = RAII_GUARD.alloc_l3_or_gm<T>(len);
+    PADDLE_ENFORCE_XDNN_NOT_NULL(y_data);
+    T *tmp_grad = RAII_GUARD.alloc_l3_or_gm<T>(x->numel());
+    PADDLE_ENFORCE_XDNN_NOT_NULL(tmp_grad);
+    int r = xpu::constant<T>(dev_ctx, y_data, len, static_cast<T>(1.0));
+    PADDLE_ENFORCE_XDNN_SUCCESS(r, "constant");
+
+    // dx.device(d) = dout * (static_cast<T>(1) / x);
+    r = xpu::broadcast_div(dev_ctx,
+                           reinterpret_cast<const float *>(y_data),
+                           reinterpret_cast<const float *>(x_data),
+                           reinterpret_cast<float *>(tmp_grad),
+                           yshape,
+                           xshape);
+    PADDLE_ENFORCE_XDNN_SUCCESS(r, "broadcast_div");
+
+    r = xpu::broadcast_mul(dev_ctx,
+                           reinterpret_cast<const float *>(y_grad),
+                           reinterpret_cast<const float *>(tmp_grad),
+                           reinterpret_cast<float *>(x_grad),
+                           xshape,
+                           xshape);
+    PADDLE_ENFORCE_XDNN_SUCCESS(r, "broadcast_mul");
+  }
+};
+
 template <typename T>
 struct XPUPowFunctor : public BaseActivationFunctor<T> {
   void operator()(const framework::ExecutionContext &ctx) const {
@@ -584,5 +630,6 @@ REGISTER_OP_XPU_KERNEL(exp,
                        ops::XPUActivationKernel<ops::XPUExpFunctor<float>>);
 REGISTER_OP_XPU_KERNEL(log,
                        ops::XPUActivationKernel<ops::XPULogFunctor<float>>);
-
+REGISTER_OP_XPU_KERNEL(
+    log_grad, ops::XPUActivationGradKernel<ops::XPULogGradFunctor<float>>);
 #endif  // PADDLE_WITH_XPU
diff --git a/paddle/fluid/platform/device/xpu/xpu2_op_list.h b/paddle/fluid/platform/device/xpu/xpu2_op_list.h
index 56da75844e619203542603f12a618bd98ab8c602..5182d432e1de66a0841cad5955a7faa70c5afd13 100644
--- a/paddle/fluid/platform/device/xpu/xpu2_op_list.h
+++ b/paddle/fluid/platform/device/xpu/xpu2_op_list.h
@@ -276,6 +276,7 @@ XPUOpMap& get_kl2_ops() {
                      pOpKernelType(vartype::INT32, XPUPlace()),
                      pOpKernelType(vartype::FP32, XPUPlace())})},
       {"log", XPUKernelSet({pOpKernelType(vartype::FP32, XPUPlace())})},
+      {"log_grad", XPUKernelSet({pOpKernelType(vartype::FP32, XPUPlace())})},
       {"log_softmax", XPUKernelSet({pOpKernelType(vartype::FP32, XPUPlace())})},
       {"log_softmax_grad",
        XPUKernelSet({pOpKernelType(vartype::FP32, XPUPlace())})},
diff --git a/python/paddle/fluid/tests/unittests/xpu/test_activation_op_xpu.py b/python/paddle/fluid/tests/unittests/xpu/test_activation_op_xpu.py
index 63a0aa2e59b939a0cdbcf96eeff2c76d9e5d143b..561dd43c689e7d9f1a96a13d806150ab29c99ffd 100644
--- a/python/paddle/fluid/tests/unittests/xpu/test_activation_op_xpu.py
+++ b/python/paddle/fluid/tests/unittests/xpu/test_activation_op_xpu.py
@@ -34,12 +34,15 @@ class TestActivationOPBase(XPUOpTest):
     def setUp(self):
         self.place = paddle.XPUPlace(0)
         self.init_dtype()
+        self.set_shape()
         self.set_case()
 
+    def set_shape(self):
+        self.shape = [11, 17]
+
     def set_case(self):
         self.op_type = 'exp'
-
-        x = np.random.uniform(-1, 1, [11, 17]).astype(self.dtype)
+        x = np.random.uniform(-1, 1, self.shape).astype(self.dtype)
         out = np.exp(x)
         self.attrs = {'use_xpu': True}
         self.inputs = {'X': OpTest.np_dtype_to_fluid_dtype(x)}
@@ -313,14 +316,33 @@ class XPUTestLogOP(XPUOpTestWrapper):
         def set_case(self):
             self.op_type = "log"
             self.dtype = self.in_type
-
-            x = np.random.uniform(0.1, 1, [11, 17]).astype(self.dtype)
+            x = np.random.uniform(0.1, 1, self.shape).astype(self.dtype)
             out = np.log(x)
 
             self.attrs = {'use_xpu': True}
             self.inputs = {'X': OpTest.np_dtype_to_fluid_dtype(x)}
             self.outputs = {'Out': out}
 
+    class TestLogCase1(XPUTestLog):
+
+        def set_shape(self):
+            self.shape = [1, 11, 17]
+
+    class TestLogCase2(XPUTestLog):
+
+        def set_shape(self):
+            self.shape = [2, 2, 2]
+
+    class TestLogCase3(XPUTestLog):
+
+        def set_shape(self):
+            self.shape = [2]
+
+    class TestLogCase4(XPUTestLog):
+
+        def set_shape(self):
+            self.shape = [1, 2, 3, 4]
+
 
 support_types = get_xpu_op_support_types('log')
 for stype in support_types: