diff --git a/tests/test_utils/test_tensor_move.py b/tests/test_utils/test_tensor_move.py
index 165d4cca6..500e81f1f 100644
--- a/tests/test_utils/test_tensor_move.py
+++ b/tests/test_utils/test_tensor_move.py
@@ -1,9 +1,10 @@
 import pytest
 
 from colossalai.utils.cuda import get_current_device
-from colossalai.zero.shard_utils.tensor_utils import colo_model_data_tensor_move, colo_model_data_tensor_move_inline
+from colossalai.zero.shard_utils.tensor_utils import colo_tensor_mem_usage, colo_model_data_tensor_move, colo_model_data_tensor_move_inline, colo_model_data_move_to_cpu, colo_model_tensor_clone
+from colossalai.utils.memory_utils.utils import colo_set_process_memory_fraction, colo_cuda_memory_capacity
 from colossalai.utils import free_port
-from colossalai.zero.sharded_param import ShardedTensor
+from colossalai.zero.sharded_param.tensorful_state import StatefulTensor
 import colossalai
 
 import torch
@@ -11,32 +12,79 @@ import torch
 from functools import partial
 import torch.multiprocessing as mp
 
+def _run_colo_tensor_mem_usage():
+    for i in range(1):
+        if i == 1:
+            t1 = StatefulTensor(torch.randn(2,2))
+            t2 = StatefulTensor(torch.randn(4,4))
+            c1 , g1 = colo_tensor_mem_usage(t1)
+            c2 , g2 = colo_tensor_mem_usage(t2)
+            assert c1*4 == c2
+            assert g1*4 == g2
+        else:
+            t1 = torch.randn(2,2)
+            t2 = torch.randn(4,4)
+            c1 , g1 = colo_tensor_mem_usage(t1)
+            c2 , g2 = colo_tensor_mem_usage(t2)
+            assert c1*4 == c2
+            assert g1*4 == g2
+
+def _run_colo_set_process_memory_fraction_and_colo_cuda_memory_capacity():
+    frac1 = colo_cuda_memory_capacity()
+    colo_set_process_memory_fraction(0.5)
+    frac2 = colo_cuda_memory_capacity()
+    assert frac2*2 == frac1
 
 def _run_colo_model_data_tensor_move_inline():
-    for t in [torch.randn(2, 3), ShardedTensor(torch.randn(2, 3))]:
+    for t in [StatefulTensor(torch.randn(2,3)), torch.randn(2,3)]:
         colo_model_data_tensor_move_inline(t, torch.device(f"cuda:{get_current_device()}"))
         assert t.device == torch.device(f"cuda:{get_current_device()}")
 
-
 def _run_colo_model_data_tensor_move():
-    for t in [(torch.ones(2, 3), torch.zeros(2, 3).cuda(get_current_device())),
-              (ShardedTensor(torch.ones(2, 3)), ShardedTensor(torch.zeros(2, 3).cuda(get_current_device())))]:
+    for t in [(StatefulTensor(torch.ones(2, 3)), StatefulTensor(torch.zeros(2, 3).cuda(get_current_device()))),
+        (torch.ones(2, 3), torch.zeros(2, 3).cuda(get_current_device()))]:
         cpu_t, cuda_t = t
         colo_model_data_tensor_move(cpu_t, cuda_t)
+        assert cuda_t.device == torch.device(f"cuda:{get_current_device()}")
+
+def _run_colo_model_data_move_to_cpu():
+    for t in [StatefulTensor(torch.randn(2,2)), torch.randn(4,4)]:
+        colo_model_data_move_to_cpu(t)
+        assert t.device == torch.device("cpu")
+
+def _run_colo_model_tensor_clone():
+    for t in [StatefulTensor(torch.randn(2,2).cuda(torch.cuda.current_device())), torch.randn(4,4).cuda(torch.cuda.current_device())]:
+        if issubclass(type(t), StatefulTensor):
+            assert t.payload.device == torch.device(f"cuda:{get_current_device()}")
+        else:
+            assert t.device == torch.device(f"cuda:{get_current_device()}")
+        p = colo_model_tensor_clone(t, torch.device(f"cuda:{get_current_device()}"))
+        assert p.device == torch.device(f"cuda:{get_current_device()}")
+        for i in range(2):
+            for j in range(2):
+                if issubclass(type(t), StatefulTensor):
+                    assert t.payload.device == p.device
+                    assert t.payload[i][j] == p[i][j]
+                else:
+                    assert t.device == p.device
+                    assert t[i][j] == p[i][j]
+
 
 
 def run_dist(rank, world_size, port):
     colossalai.launch(config={}, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
+    _run_colo_set_process_memory_fraction_and_colo_cuda_memory_capacity()
     _run_colo_model_data_tensor_move_inline()
     _run_colo_model_data_tensor_move()
-
+    _run_colo_tensor_mem_usage()
+    _run_colo_model_data_move_to_cpu()
+    _run_colo_model_tensor_clone()
 
 @pytest.mark.dist
-@pytest.mark.parametrize("world_size", [1, 4])
+@pytest.mark.parametrize("world_size", [4, 5])
 def test_tensor_move(world_size):
     run_func = partial(run_dist, world_size=world_size, port=free_port())
     mp.spawn(run_func, nprocs=world_size)
 
-
 if __name__ == '__main__':
     test_tensor_move(4)