diff --git a/torch_optimizer/lamb.py b/torch_optimizer/lamb.py
index 4ac5fbb..a1da0ef 100644
--- a/torch_optimizer/lamb.py
+++ b/torch_optimizer/lamb.py
@@ -28,6 +28,7 @@ class Lamb(Optimizer):
         adam: always use trust ratio = 1, which turns this
             into Adam. Useful for comparison purposes. (default: False)
         debias: debias adam by (1 - beta**step) (default: False)
+        prenorm: if True, perform pre-normalization of all gradients
 
     Example:
         >>> import torch_optimizer as optim
@@ -52,6 +53,7 @@ def __init__(
         clamp_value: float = 10,
         adam: bool = False,
         debias: bool = False,
+        prenorm: bool = False,
     ) -> None:
         if lr <= 0.0:
             raise ValueError('Invalid learning rate: {}'.format(lr))
@@ -76,6 +78,7 @@ def __init__(
         self.clamp_value = clamp_value
         self.adam = adam
         self.debias = debias
+        self.prenorm = prenorm
 
         super(Lamb, self).__init__(params, defaults)
 
@@ -89,6 +92,23 @@ def step(self, closure: OptLossClosure = None) -> OptFloat:
         if closure is not None:
             loss = closure()
 
+        if self.prenorm:
+            norm_sq = 0.0
+            for group in self.param_groups:
+                for p in group['params']:
+                    if p.grad is None:
+                        continue
+
+                    norm_sq += torch.linalg.norm(p.grad).item()**2
+
+            norm = math.sqrt(norm_sq)
+
+            for group in self.param_groups:
+                for p in group['params']:
+                    if p.grad is None:
+                        continue
+                    p.grad /= norm
+
         for group in self.param_groups:
             for p in group['params']:
                 if p.grad is None: