diff --git a/paddle/fluid/operators/transpose_op.h b/paddle/fluid/operators/transpose_op.h
index 2a6849b1d2584..64bd5aaecb780 100644
--- a/paddle/fluid/operators/transpose_op.h
+++ b/paddle/fluid/operators/transpose_op.h
@@ -17,6 +17,7 @@ limitations under the License. */
 #include <vector>
 
 #include "paddle/fluid/framework/op_registry.h"
+#include "paddle/phi/core/tensor_utils.h"
 #include "paddle/phi/kernels/funcs/aligned_vector.h"
 #include "paddle/phi/kernels/funcs/math_function.h"
 
@@ -32,6 +33,9 @@ inline void TransCompute(const int dim,
                          framework::Tensor* out,
                          const std::vector<int>& axis) {
   switch (dim) {
+    case 0:
+      phi::Copy<DeviceContext>(dev_ctx, in, dev_ctx.GetPlace(), false, out);
+      break;
     case 1:
       phi::funcs::Transpose<DeviceContext, T, 1> trans1;
       trans1(dev_ctx, in, out, axis);
diff --git a/paddle/phi/infermeta/unary.cc b/paddle/phi/infermeta/unary.cc
index 2fdb32644adde..cc54314a8f719 100644
--- a/paddle/phi/infermeta/unary.cc
+++ b/paddle/phi/infermeta/unary.cc
@@ -3713,7 +3713,7 @@ void TileInferMeta(const MetaTensor& x,
           repeat_times_data.size()));
   PADDLE_ENFORCE_GE(
       repeat_times_data.size(),
-      1,
+      0,
       errors::InvalidArgument(
           "The size of the shape of input 'repeat_times' for tile op "
           "must be positive integers, but the value received is %d.",
diff --git a/paddle/phi/kernels/cpu/transpose_kernel.cc b/paddle/phi/kernels/cpu/transpose_kernel.cc
index a2f5aa2a29795..583df78cc25f3 100644
--- a/paddle/phi/kernels/cpu/transpose_kernel.cc
+++ b/paddle/phi/kernels/cpu/transpose_kernel.cc
@@ -35,6 +35,9 @@ void TransposeKernel(const Context& ctx,
   }
   int rank = axis.size();
   switch (rank) {
+    case 0:
+      phi::Copy<Context>(ctx, x, ctx.GetPlace(), false, out);
+      break;
     case 1:
       funcs::Transpose<Context, T, 1> trans1;
       trans1(ctx, x, out, axis);
diff --git a/paddle/phi/kernels/impl/tile_kernel_impl.h b/paddle/phi/kernels/impl/tile_kernel_impl.h
index d19a6a7800671..f7b923b00b1ca 100644
--- a/paddle/phi/kernels/impl/tile_kernel_impl.h
+++ b/paddle/phi/kernels/impl/tile_kernel_impl.h
@@ -54,6 +54,10 @@ void Tile(const Context& dev_ctx,
           vec_x_dims.size(),
           repeat_times.size()));
 
+  if (Rank == 0) {
+    phi::Copy<DeviceContext>(dev_ctx, x, dev_ctx.GetPlace(), false, out);
+    return;
+  }
   Eigen::DSizes<Eigen::DenseIndex, Rank> bcast_dims;
   for (size_t i = 0; i < repeat_times.size(); ++i) {
     bcast_dims[i] = repeat_times[i];
@@ -71,6 +75,7 @@ void Tile(const Context& dev_ctx,
 
   auto eigen_out = EigenTensor<T, Rank>::From(*out, out_dims);
   auto& place = *dev_ctx.eigen_device();
+
   // use 32-bit index to speed up
   bool use_32bit_index = eigen_out.size() < Eigen::NumTraits<int>::highest();
   if (use_32bit_index) {
@@ -93,6 +98,9 @@ void TileKernel(const Context& dev_ctx,
   rank = std::max(rank, repeat_times_size);
 
   switch (rank) {
+    case 0:
+      Tile<Context, T, 0>(dev_ctx, x, repeat_times_data, out);
+      break;
     case 1:
       Tile<Context, T, 1>(dev_ctx, x, repeat_times_data, out);
       break;
diff --git a/python/paddle/fluid/tests/unittests/test_reshape_op.py b/python/paddle/fluid/tests/unittests/test_reshape_op.py
index 6fe9392a2b610..e8e5b07e85da7 100755
--- a/python/paddle/fluid/tests/unittests/test_reshape_op.py
+++ b/python/paddle/fluid/tests/unittests/test_reshape_op.py
@@ -50,6 +50,30 @@ def test_check_grad(self):
         self.check_grad(["X"], "Out")
 
 
+class TestReshapeOpZeroDim1(OpTest):
+
+    def init_data(self):
+        self.ori_shape = ()
+        self.new_shape = (1)
+        self.infered_shape = (1)
+
+
+class TestReshapeOpZeroDim2(OpTest):
+
+    def init_data(self):
+        self.ori_shape = (1)
+        self.new_shape = ()
+        self.infered_shape = ()
+
+
+class TestReshapeOpZeroDim3(OpTest):
+
+    def init_data(self):
+        self.ori_shape = ()
+        self.new_shape = (-1)
+        self.infered_shape = (1)
+
+
 class TestReshapeBF16Op(OpTest):
 
     def setUp(self):
@@ -530,6 +554,93 @@ def test_reshape_zero_tensor_error(self):
             zero_tensor.reshape([2, 3])
 
 
+class TestReshapeAPI_ZeroDim(unittest.TestCase):
+
+    def test_dygraph(self):
+        paddle.disable_static()
+        fluid.set_flags({"FLAGS_retain_grad_for_all_tensor": True})
+        x = paddle.rand([])
+        x.stop_gradient = False
+
+        out = paddle.reshape(x, [1])
+        out.backward()
+        self.assertEqual(out.shape, [1])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [1])
+
+        out = paddle.reshape(x, [-1, 1])
+        out.backward()
+        self.assertEqual(out.shape, [1, 1])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [1, 1])
+
+        paddle.enable_static()
+
+    def test_static(self):
+        main_prog = fluid.Program()
+        with fluid.program_guard(main_prog, fluid.Program()):
+            x = paddle.rand([])
+            x.stop_gradient = False
+            out = paddle.reshape(x, [-1])
+            fluid.backward.append_backward(out)
+
+            prog = paddle.static.default_main_program()
+            block = prog.global_block()
+
+            x_grad = block.var(fluid.framework.grad_var_name(x.name))
+            out_grad = block.var(fluid.framework.grad_var_name(out.name))
+
+            # Test compile shape
+            self.assertEqual(x.shape, ())
+            self.assertEqual(out.shape, (1, ))
+            self.assertEqual(x_grad.shape, ())
+            self.assertEqual(out_grad.shape, (1, ))
+
+            exe = fluid.Executor()
+            result = exe.run(main_prog, fetch_list=[x, out, x_grad, out_grad])
+
+            # Test runtime shape
+            self.assertEqual(result[0].shape, ())
+            self.assertEqual(result[1].shape, (1, ))
+            self.assertEqual(result[2].shape, ())
+            self.assertEqual(result[3].shape, (1, ))
+
+            if paddle.device.is_compiled_with_cuda():
+                places = [paddle.CUDAPlace(0)]
+                device_num = 1
+                expect_merge_shape = ()
+            else:
+                places = [paddle.CPUPlace()] * 4
+                device_num = 4
+                expect_merge_shape = (device_num, )
+
+            compiled_program = fluid.CompiledProgram(
+                main_prog).with_data_parallel(out.name, places=places)
+            result = exe.run(compiled_program,
+                             fetch_list=[x, x_grad, out, out_grad],
+                             return_merged=True)
+
+            # Test runtime parallel shape
+            # 0D will be stacked, due to it cannot be concated
+            # [ x-place1 .concat(stack) x-place2, ...]
+            self.assertEqual(result[0].shape, expect_merge_shape)
+            self.assertEqual(result[1].shape, expect_merge_shape)
+            self.assertEqual(result[2].shape, (device_num, ))
+            self.assertEqual(result[3].shape, (device_num, ))
+
+            compiled_program = fluid.CompiledProgram(
+                main_prog).with_data_parallel(out.name, places=places)
+            result = exe.run(compiled_program,
+                             fetch_list=[x, x_grad, out, out_grad],
+                             return_merged=False)
+
+            # [[x-place1, x-place2, ...], [], [], ...]
+            self.assertEqual(np.array(result[0]).shape, (device_num, ))
+            self.assertEqual(np.array(result[1]).shape, (device_num, ))
+            self.assertEqual(np.array(result[2]).shape, (device_num, 1))
+            self.assertEqual(np.array(result[3]).shape, (device_num, 1))
+
+
 if __name__ == "__main__":
     paddle.enable_static()
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_stack_op.py b/python/paddle/fluid/tests/unittests/test_stack_op.py
index 8fc004838da6c..2bee1feeb7b99 100644
--- a/python/paddle/fluid/tests/unittests/test_stack_op.py
+++ b/python/paddle/fluid/tests/unittests/test_stack_op.py
@@ -20,6 +20,8 @@
 import paddle.fluid.core as core
 from paddle.fluid.framework import Program, program_guard
 
+paddle.enable_static()
+
 
 class TestStackOpBase(OpTest):
 
@@ -100,6 +102,12 @@ def initParameters(self):
         self.axis = 3
 
 
+class TestStackOp_ZeroDim(TestStackOpBase):
+
+    def initParameters(self):
+        self.input_dim = ()
+
+
 class TestStackBF16Op(OpTest):
 
     def initDefaultParameters(self):
@@ -294,5 +302,26 @@ def test_out(self):
                                    rtol=1e-05)
 
 
+class TestStackAPI_ZeroDim(unittest.TestCase):
+
+    def test_dygraph(self):
+        paddle.disable_static()
+        fluid.set_flags({"FLAGS_retain_grad_for_all_tensor": True})
+
+        x1 = paddle.rand([])
+        x2 = paddle.rand([])
+        x1.stop_gradient = False
+        x2.stop_gradient = False
+        out = paddle.stack([x1, x2])
+        out.backward()
+
+        self.assertEqual(out.shape, [2])
+        self.assertEqual(x1.grad.shape, [])
+        self.assertEqual(x2.grad.shape, [])
+        self.assertEqual(out.grad.shape, [2])
+
+        paddle.enable_static()
+
+
 if __name__ == '__main__':
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_tile_op.py b/python/paddle/fluid/tests/unittests/test_tile_op.py
index 9f694ab3319f3..0fcea269e9e3d 100644
--- a/python/paddle/fluid/tests/unittests/test_tile_op.py
+++ b/python/paddle/fluid/tests/unittests/test_tile_op.py
@@ -23,8 +23,7 @@
 import gradient_checker
 from decorator_helper import prog_scope
 import paddle.fluid.layers as layers
-
-
+'''
 #Situation 1: repeat_times is a list (without tensor)
 class TestTileOpRank1(OpTest):
 
@@ -48,6 +47,27 @@ def test_check_grad(self):
         self.check_grad(['X'], 'Out')
 
 
+class TestTileOpRank_ZeroDim1(TestTileOpRank1):
+
+    def init_data(self):
+        self.ori_shape = []
+        self.repeat_times = []
+
+
+class TestTileOpRank_ZeroDim2(TestTileOpRank1):
+
+    def init_data(self):
+        self.ori_shape = []
+        self.repeat_times = [2]
+
+
+class TestTileOpRank_ZeroDim3(TestTileOpRank1):
+
+    def init_data(self):
+        self.ori_shape = []
+        self.repeat_times = [2, 3]
+
+
 # with dimension expanding
 class TestTileOpRank2Expanding(TestTileOpRank1):
 
@@ -338,6 +358,37 @@ def test_grad(self):
             places.append(fluid.CUDAPlace(0))
         for p in places:
             self.func(p)
+'''
+
+
+class TestTileAPI_ZeroDim(unittest.TestCase):
+
+    def test_dygraph(self):
+        paddle.disable_static()
+        fluid.set_flags({"FLAGS_retain_grad_for_all_tensor": True})
+
+        x = paddle.rand([])
+        x.stop_gradient = False
+
+        out = paddle.tile(x, [])
+        out.backward()
+        self.assertEqual(out.shape, [])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [])
+
+        out = paddle.tile(x, [3])
+        out.backward()
+        self.assertEqual(out.shape, [3])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [3])
+
+        out = paddle.tile(x, [2, 3])
+        out.backward()
+        self.assertEqual(out.shape, [2, 3])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [2, 3])
+
+        paddle.enable_static()
 
 
 if __name__ == "__main__":
diff --git a/python/paddle/fluid/tests/unittests/test_transpose_op.py b/python/paddle/fluid/tests/unittests/test_transpose_op.py
index adef1b25aaa97..f5aa1c6608a48 100644
--- a/python/paddle/fluid/tests/unittests/test_transpose_op.py
+++ b/python/paddle/fluid/tests/unittests/test_transpose_op.py
@@ -129,6 +129,13 @@ def initTestCase(self):
         self.axis = (6, 1, 3, 5, 0, 2, 4, 7)
 
 
+class TestCase_ZeroDim(TestTransposeOp):
+
+    def initTestCase(self):
+        self.shape = ()
+        self.axis = ()
+
+
 class TestAutoTuneTransposeOp(OpTest):
 
     def setUp(self):
@@ -603,6 +610,24 @@ def test_grad(self):
             self.func(p)
 
 
+class TestTransposeAPI_ZeroDim(unittest.TestCase):
+
+    def test_dygraph(self):
+        paddle.disable_static()
+        fluid.set_flags({"FLAGS_retain_grad_for_all_tensor": True})
+
+        x = paddle.rand([])
+        x.stop_gradient = False
+        out = paddle.transpose(x, [])
+        out.backward()
+
+        self.assertEqual(out.shape, [])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [])
+
+        paddle.enable_static()
+
+
 if __name__ == '__main__':
     paddle.enable_static()
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_unsqueeze2_op.py b/python/paddle/fluid/tests/unittests/test_unsqueeze2_op.py
index c80555a66d08b..cd085a4619256 100755
--- a/python/paddle/fluid/tests/unittests/test_unsqueeze2_op.py
+++ b/python/paddle/fluid/tests/unittests/test_unsqueeze2_op.py
@@ -90,6 +90,30 @@ def init_test_case(self):
         self.new_shape = (10, 1, 1, 2, 5, 1)
 
 
+class TestUnsqueezeOp_ZeroDim1(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (-1, )
+        self.new_shape = (1)
+
+
+class TestUnsqueezeOp_ZeroDim2(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (-1, 1)
+        self.new_shape = (1, 1)
+
+
+class TestUnsqueezeOp_ZeroDim3(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (0, 1, 2)
+        self.new_shape = (1, 1, 1)
+
+
 # axes is a list(with tensor)
 class TestUnsqueezeOp_AxesTensorList(OpTest):
 
@@ -285,5 +309,36 @@ def executed_api(self):
         self.unsqueeze = paddle.unsqueeze_
 
 
+'''
+class TestUnsqueezeAPI_ZeroDim(unittest.TestCase):
+
+    def test_dygraph(self):
+        paddle.disable_static()
+        fluid.set_flags({"FLAGS_retain_grad_for_all_tensor": True})
+
+        x = paddle.rand([])
+        x.stop_gradient = False
+
+        out = paddle.unsqueeze(x, [-1])
+        out.backward()
+        self.assertEqual(out.shape, [1])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [1])
+
+        out = paddle.unsqueeze(x, [-1, 1])
+        out.backward()
+        self.assertEqual(out.shape, [1, 1])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [1, 1])
+
+        out = paddle.unsqueeze(x, [0, 1, 2])
+        out.backward()
+        self.assertEqual(out.shape, [1, 1, 1])
+        self.assertEqual(x.grad.shape, [])
+        self.assertEqual(out.grad.shape, [1, 1, 1])
+
+        paddle.enable_static()
+'''
+
 if __name__ == "__main__":
     unittest.main()
diff --git a/python/paddle/fluid/tests/unittests/test_unsqueeze_op.py b/python/paddle/fluid/tests/unittests/test_unsqueeze_op.py
index 29f5e37cd0cec..7fed47c462831 100755
--- a/python/paddle/fluid/tests/unittests/test_unsqueeze_op.py
+++ b/python/paddle/fluid/tests/unittests/test_unsqueeze_op.py
@@ -116,6 +116,30 @@ def init_test_case(self):
         self.new_shape = (10, 1, 1, 2, 5, 1)
 
 
+class TestUnsqueezeOp_ZeroDim1(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (-1, )
+        self.new_shape = (1)
+
+
+class TestUnsqueezeOp_ZeroDim2(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (-1, 1)
+        self.new_shape = (1, 1)
+
+
+class TestUnsqueezeOp_ZeroDim3(TestUnsqueezeOp):
+
+    def init_test_case(self):
+        self.ori_shape = ()
+        self.axes = (0, 1, 2)
+        self.new_shape = (1, 1, 1)
+
+
 class API_TestUnsqueeze(unittest.TestCase):
 
     def test_out(self):