diff --git a/colossalai/nn/layer/parallel_3d/_operation.py b/colossalai/nn/layer/parallel_3d/_operation.py
old mode 100644
new mode 100755
index 885d06e6d..07869e5ad
--- a/colossalai/nn/layer/parallel_3d/_operation.py
+++ b/colossalai/nn/layer/parallel_3d/_operation.py
@@ -281,7 +281,7 @@ def vocab_parallel_classifier_3d(
 
 
 @torch.jit.script
-def norm_forward(x, mean, sqr_mean, weight, bias, eps):
+def norm_forward(x: Tensor, mean: Tensor, sqr_mean: Tensor, weight: Tensor, bias: Tensor, eps: float):
     mu = x - mean
     var = sqr_mean - mean**2
     sigma = torch.sqrt(var + eps)
@@ -292,7 +292,7 @@ def norm_forward(x, mean, sqr_mean, weight, bias, eps):
 
 
 @torch.jit.script
-def norm_backward(grad, mu, sigma, weight):
+def norm_backward(grad: Tensor, mu: Tensor, sigma: Tensor, weight: Tensor):
     # dbias, dweight = grad, grad * mu / sigma
     dz = grad * weight
     dmu = dz / sigma