diff --git a/paddle/fluid/operators/crop_op.cc b/paddle/fluid/operators/crop_op.cc
index b5b31c7ce0cc62aa8c85bbb8e625645528cf71c2..5b5a220cf90e7813f914ae35733e7a4103391b2d 100644
--- a/paddle/fluid/operators/crop_op.cc
+++ b/paddle/fluid/operators/crop_op.cc
@@ -48,6 +48,13 @@ class CropOp : public framework::OperatorWithKernel {
       ctx->SetOutputDim("Out", y_dim);
     }
   }
+
+  framework::OpKernelType GetExpectedKernelType(
+      const framework::ExecutionContext& ctx) const override {
+    return framework::OpKernelType(
+        framework::ToDataType(ctx.Input<framework::LoDTensor>("X")->type()),
+        ctx.device_context());
+  }
 };
 
 class CropOpMaker : public framework::OpProtoAndCheckerMaker {
@@ -163,6 +170,15 @@ class CropOpGrad : public framework::OperatorWithKernel {
       ctx->SetOutputDim(x_grad_name, x_dims);
     }
   }
+
+  framework::OpKernelType GetExpectedKernelType(
+      const framework::ExecutionContext& ctx) const override {
+    return framework::OpKernelType(
+        framework::ToDataType(
+            ctx.Input<framework::LoDTensor>(framework::GradVarName("Out"))
+                ->type()),
+        ctx.device_context());
+  }
 };
 
 }  // namespace operators
diff --git a/paddle/fluid/operators/random_crop_op.cc b/paddle/fluid/operators/random_crop_op.cc
index b14b559e31dd422f8ebe4002988a9746dfdf28a2..d3a32b664b3430cb7686bfec25ca251752d6ad77 100644
--- a/paddle/fluid/operators/random_crop_op.cc
+++ b/paddle/fluid/operators/random_crop_op.cc
@@ -20,7 +20,6 @@ class RandomCropOp : public framework::OperatorWithKernel {
  public:
   using framework::OperatorWithKernel::OperatorWithKernel;
 
- protected:
   framework::OpKernelType GetExpectedKernelType(
       const framework::ExecutionContext& ctx) const override {
     return framework::OpKernelType(
diff --git a/python/paddle/fluid/tests/unittests/test_crop_op.py b/python/paddle/fluid/tests/unittests/test_crop_op.py
index 20cc3a643f1adfc04faad15e1b7baad3e22d9d29..4016089c01644f0389855ab114360f90c50a1bbe 100644
--- a/python/paddle/fluid/tests/unittests/test_crop_op.py
+++ b/python/paddle/fluid/tests/unittests/test_crop_op.py
@@ -42,9 +42,9 @@ class TestCropOp(OpTest):
     def setUp(self):
         self.op_type = "crop"
         self.crop_by_input = False
+        self.offset_by_input = False
         self.attrs = {}
         self.initTestCase()
-        self.attrs['offsets'] = self.offsets
         if self.crop_by_input:
             self.inputs = {
                 'X': np.random.random(self.x_shape).astype("float32"),
@@ -55,6 +55,10 @@ class TestCropOp(OpTest):
             self.inputs = {
                 'X': np.random.random(self.x_shape).astype("float32"),
             }
+        if self.offset_by_input:
+            self.inputs['Offsets'] = np.array(self.offsets).astype('int32')
+        else:
+            self.attrs['offsets'] = self.offsets
         self.outputs = {
             'Out': crop(self.inputs['X'], self.offsets, self.crop_shape)
         }
@@ -101,5 +105,22 @@ class TestCase4(TestCropOp):
         self.crop_by_input = True
 
 
+class TestCase5(TestCropOp):
+    def initTestCase(self):
+        self.x_shape = (3, 4, 5)
+        self.crop_shape = [2, 2, 3]
+        self.offsets = [1, 0, 2]
+        self.offset_by_input = True
+
+
+class TestCase6(TestCropOp):
+    def initTestCase(self):
+        self.x_shape = (10, 9, 14)
+        self.crop_shape = [3, 3, 5]
+        self.offsets = [3, 5, 4]
+        self.crop_by_input = True
+        self.offset_by_input = True
+
+
 if __name__ == '__main__':
     unittest.main()