diff --git a/colossalai/tensor/_ops/linear.py b/colossalai/tensor/_ops/linear.py
index d8bc338a5..d85893969 100644
--- a/colossalai/tensor/_ops/linear.py
+++ b/colossalai/tensor/_ops/linear.py
@@ -19,12 +19,18 @@ def colo_linear(types, args, kwargs, pg):
             bias = None
     else:
         bias = kwargs.get('bias', None)
-    
+
     if isinstance(bias, ColoTensor):
         bias = bias.torch_tensor()
 
     # Add communication logic before and after linear call.
     if isinstance(weight, ColoTensor):
-        return torch.nn.functional.linear(input_tensor, weight.torch_tensor(), bias)
+        if weight.shard_spec == None:
+            return torch.nn.functional.linear(input_tensor, weight.torch_tensor(), bias)
+        elif weight.shard_spec == '1Drow':
+            # TODO(jzy): implement 1Drow TP linear here.
+            raise NotImplementedError
+        else:
+            raise NotImplementedError
     else:
         return torch.nn.functional.linear(input_tensor, weight, bias)
diff --git a/colossalai/tensor/colo_tensor.py b/colossalai/tensor/colo_tensor.py
index f40034dc1..8900a42ff 100644
--- a/colossalai/tensor/colo_tensor.py
+++ b/colossalai/tensor/colo_tensor.py
@@ -1,6 +1,6 @@
 import torch
 from .op_wrapper import _COLOSSAL_OPS
-from typing import Tuple
+from typing import Tuple, Optional
 
 
 class ColoTensor(object):
@@ -21,20 +21,35 @@ class ColoTensor(object):
             requires_grad=False,
             pin_memory=False,
             torch_tensor=torch.empty(0),
+            shard_spec: str = None,
     ):
         self._size = size
         self._dtype = dtype
         self._requires_grad = requires_grad
         self._pin_memory = pin_memory
         self._torch_tensor = torch_tensor
+        self._shard_spec = shard_spec
+
+    @property
+    def shard_spec(self) -> Optional[str]:
+        return self._shard_spec
+
+    @property
+    def data(self):
+        return self._torch_tensor.data
+
+    @property
+    def grad(self):
+        return self._torch_tensor.grad
 
     @staticmethod
-    def init_from_torch_tensor(tensor: torch.Tensor):
+    def init_from_torch_tensor(tensor: torch.Tensor, shard_spec: str = None) -> 'ColoTensor':
         colo_t = ColoTensor(*tensor.size(),
                             dtype=tensor.dtype,
                             requires_grad=tensor.requires_grad,
                             pin_memory=tensor.pin_memory,
-                            torch_tensor=tensor)
+                            torch_tensor=tensor,
+                            shard_spec=shard_spec)
         return colo_t
 
     def del_torch_tensor(self) -> None:
@@ -67,7 +82,5 @@ class ColoTensor(object):
             if kwargs is None:
                 kwargs = {}
 
-            kwargs = {
-                k: v.torch_tensor() if isinstance(v, ColoTensor) else v for k,v in kwargs.items()
-            }
+            kwargs = {k: v.torch_tensor() if isinstance(v, ColoTensor) else v for k, v in kwargs.items()}
             return func(*args, **kwargs)
diff --git a/tests/test_tensor/test_linear_tp.py b/tests/test_tensor/test_linear_tp.py
new file mode 100644
index 000000000..4adb848b1
--- /dev/null
+++ b/tests/test_tensor/test_linear_tp.py
@@ -0,0 +1,74 @@
+from joblib import Parallel
+from numpy import allclose, require
+import torch
+from colossalai.context.parallel_mode import ParallelMode
+from colossalai.tensor import ColoTensor
+from copy import deepcopy
+
+from functools import partial
+
+import colossalai
+import pytest
+import torch
+import torch.multiprocessing as mp
+from colossalai.logging import get_dist_logger
+from colossalai.testing import parameterize, rerun_if_address_is_in_use
+from colossalai.utils import free_port
+from colossalai.core import global_context as gpc
+
+
+def run_linear_tp1d_row_test():
+    in_dim = 4
+    out_dim = 5
+
+    fc = torch.nn.Linear(in_dim, out_dim, bias=True)
+    fc_ref = deepcopy(fc)
+
+    input_ref = torch.randn(1, in_dim)
+    input_tensor = input_ref.clone()
+
+    # sharded_weight = ColoTensor.init_from_torch_tensor(fc_ref.weight, "1Drow")
+
+    # shard weight at begiin
+    world_size = gpc.get_world_size(ParallelMode.PARALLEL_1D)
+    sharded_weight = ColoTensor(in_dim / world_size, out_dim, shard_spec="1Drow")
+    sharded_bias = ColoTensor.init_from_torch_tensor(fc_ref.bias)
+
+    # replace the torch nn.Parameters with ShardedTensor
+    delattr(fc, 'weight')
+    setattr(fc, 'weight', sharded_weight)
+    delattr(fc, 'bias')
+    setattr(fc, 'bias', sharded_bias)
+
+    fc.weight.requires_grad = True
+    fc.bias.requires_grad = True
+
+    # torch.nn.functional.linear(torch.randn(1, in_dim), sharded_weight, sharded_bias)
+    out = fc(input_tensor)
+    loss = out.sum()
+    loss.backward()
+
+    out_ref = fc_ref(input_ref)
+    loss_ref = out_ref.sum()
+    loss_ref.backward()
+
+    assert (loss_ref == loss)
+    assert allclose(fc_ref.weight.grad, fc.weight.torch_tensor().grad)
+
+
+def run_dist(rank, world_size, port):
+    config = dict(parallel=dict(tensor=dict(mode="1d", size=world_size),))
+    colossalai.launch(config=config, rank=rank, world_size=world_size, host='localhost', port=port, backend='nccl')
+    run_linear_tp1d_row_test()
+
+
+@pytest.mark.dist
+@pytest.mark.parametrize("world_size", [4])
+@rerun_if_address_is_in_use()
+def test_linear_1d(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_linear_1d(4)