diff --git a/internlm/solver/optimizer/hybrid_zero_optim.py b/internlm/solver/optimizer/hybrid_zero_optim.py
index dfe0a4a..dd82afc 100644
--- a/internlm/solver/optimizer/hybrid_zero_optim.py
+++ b/internlm/solver/optimizer/hybrid_zero_optim.py
@@ -498,6 +498,20 @@ class HybridZeroOptimizer(BaseOptimizer):
 
         # Gradients may not be fully synchronized here.
 
+    def backward_by_grad(self, tensor, grad):
+        if isinstance(tensor, list) and isinstance(grad, list):
+            tensors = []
+            grads = []
+            for _t, _g in zip(tensor, grad):
+                # scale the latent loss whose grad is None and tensor is in computing graph
+                if _t is not None and _g is None:
+                    _t = self.loss_scale * _t
+                tensors.append(_t)
+                grads.append(_g)
+            torch.autograd.backward(tensors=tensors, grad_tensors=grads)
+        else:
+            torch.autograd.backward(tensors=tensor, grad_tensors=grad)
+
     def _compute_norm_with_stage(
         self,
         group_id: int = 0,