diff --git a/python/paddle/fluid/tests/unittests/test_activation_op.py b/python/paddle/fluid/tests/unittests/test_activation_op.py
index dfa95f760ce6aa938454bf4d23bba14565bb571f..c273cd4954941876b55895a21bb4b45073b63454 100644
--- a/python/paddle/fluid/tests/unittests/test_activation_op.py
+++ b/python/paddle/fluid/tests/unittests/test_activation_op.py
@@ -1933,6 +1933,8 @@ class TestLeakyRelu(TestActivation):
     def setUp(self):
         self.op_type = "leaky_relu"
         self.python_api = paddle.nn.functional.leaky_relu
+        self.public_python_api = paddle.nn.functional.leaky_relu
+        self.prim_op_type = "comp"
         self.init_dtype()
         self.init_shape()
         alpha = self.get_alpha()
@@ -1948,10 +1950,13 @@ class TestLeakyRelu(TestActivation):
         self.attrs = {'alpha': alpha}
         self.convert_input_output()
 
+    def test_check_output(self):
+        self.check_output(check_prim=True)
+
     def test_check_grad(self):
         if self.dtype == np.float16:
             return
-        self.check_grad(['X'], 'Out')
+        self.check_grad(['X'], 'Out', check_prim=True)
 
 
 class TestLeakyReluAlpha1(TestLeakyRelu):
@@ -1973,6 +1978,26 @@ class TestLeakyRelu_ZeroDim(TestLeakyRelu):
     def init_shape(self):
         self.shape = []
 
+    def setUp(self):
+        self.op_type = "leaky_relu"
+        self.prim_op_type = "comp"
+        self.enable_cinn = False
+        self.python_api = paddle.nn.functional.leaky_relu
+        self.public_python_api = paddle.nn.functional.relu
+        self.init_dtype()
+        self.init_shape()
+        alpha = self.get_alpha()
+
+        np.random.seed(1024)
+        x = np.random.uniform(-1, 1, self.shape).astype(self.dtype)
+        # The same reason with TestAbs
+        x[np.abs(x) < 0.005] = 0.05
+        out = ref_leaky_relu(x, alpha)
+
+        self.inputs = {'X': x}
+        self.outputs = {'Out': out}
+        self.attrs = {'alpha': alpha}
+
 
 class TestLeakyReluAPI(unittest.TestCase):
     # test paddle.nn.LeakyReLU, paddle.nn.functional.leaky_relu,
@@ -4031,11 +4056,13 @@ create_test_act_fp16_class(TestHardSigmoid)
 create_test_act_fp16_class(TestSwish)
 create_test_act_fp16_class(TestHardSwish, check_prim=True)
 create_test_act_fp16_class(TestMish)
-create_test_act_fp16_class(TestLeakyRelu)
-create_test_act_fp16_class(TestLeakyReluAlpha1)
-create_test_act_fp16_class(TestLeakyReluAlpha2)
-create_test_act_fp16_class(TestLeakyReluAlpha3)
-create_test_act_fp16_class(TestLeakyRelu_ZeroDim)
+create_test_act_fp16_class(TestLeakyRelu, check_prim=True)
+create_test_act_fp16_class(TestLeakyReluAlpha1, check_prim=True)
+create_test_act_fp16_class(TestLeakyReluAlpha2, check_prim=True)
+create_test_act_fp16_class(TestLeakyReluAlpha3, check_prim=True)
+create_test_act_fp16_class(
+    TestLeakyRelu_ZeroDim, check_prim=True, enable_cinn=False
+)
 create_test_act_fp16_class(TestRsqrt)
 
 
@@ -4142,11 +4169,19 @@ create_test_act_bf16_class(TestHardSigmoid)
 create_test_act_bf16_class(TestSwish)
 create_test_act_bf16_class(TestHardSwish, check_prim=True)
 create_test_act_bf16_class(TestMish)
-create_test_act_bf16_class(TestLeakyRelu)
-create_test_act_bf16_class(TestLeakyReluAlpha1)
-create_test_act_bf16_class(TestLeakyReluAlpha2)
-create_test_act_bf16_class(TestLeakyReluAlpha3)
-create_test_act_bf16_class(TestLeakyRelu_ZeroDim)
+create_test_act_bf16_class(TestLeakyRelu, check_prim=True, enable_cinn=False)
+create_test_act_bf16_class(
+    TestLeakyReluAlpha1, check_prim=True, enable_cinn=False
+)
+create_test_act_bf16_class(
+    TestLeakyReluAlpha2, check_prim=True, enable_cinn=False
+)
+create_test_act_bf16_class(
+    TestLeakyReluAlpha3, check_prim=True, enable_cinn=False
+)
+create_test_act_bf16_class(
+    TestLeakyRelu_ZeroDim, check_prim=True, enable_cinn=False
+)
 create_test_act_bf16_class(TestRsqrt)
 
 if __name__ == "__main__":
diff --git a/python/paddle/incubate/autograd/composite_rules.py b/python/paddle/incubate/autograd/composite_rules.py
index 72bc1601bfacc438e65f3663f4e7e55e3947d465..3a1a3ea7d6751aadf3d827f5a3972c4789bd8435 100644
--- a/python/paddle/incubate/autograd/composite_rules.py
+++ b/python/paddle/incubate/autograd/composite_rules.py
@@ -677,3 +677,12 @@ def group_norm_composite(x, scale, bias, epsilon, groups, data_layout):
     if is_amp:
         out = cast(out, "float16")
     return out, ret_mean_, ret_var_
+
+
+@REGISTER_COMPOSITE('leaky_relu')
+def leaky_relu_composite(x, negative_slope):
+    """define composite rule of op leaky_relu."""
+    if negative_slope < 1.0:
+        return maximum(x, negative_slope * x)
+    else:
+        return minimum(x, negative_slope * x)