diff --git a/onnxscript/rewriter/no_op.py b/onnxscript/rewriter/no_op.py
index 7a4b00798..21cee515d 100644
--- a/onnxscript/rewriter/no_op.py
+++ b/onnxscript/rewriter/no_op.py
@@ -23,6 +23,14 @@ def div_by_1(op, x):
     return x / 1
 
 
+def dropout_zero(op, x):
+    return op.Dropout(x, ratio=0.0)
+
+
+def dropout_inference(op, x):
+    return op.Dropout(x, training_mode=False)
+
+
 # Replacement
 def identity(op, x):
     return op.Identity(x)
@@ -32,6 +40,8 @@ def identity(op, x):
 add_0_rule = pattern.RewriteRule(add_0, identity)
 sub_0_rule = pattern.RewriteRule(sub_0, identity)
 div_by_1_rule = pattern.RewriteRule(div_by_1, identity)
+dropout_zero_rule = pattern.RewriteRule(dropout_zero, identity)
+dropout_inference_rule = pattern.RewriteRule(dropout_inference, identity)
 # TODO: Include Mul by 0, 0 by Mul, 0 by Div? Those would be 0s, but not no-ops
 
 rules = pattern.RewriteRuleSet(
@@ -40,5 +50,7 @@ def identity(op, x):
         *add_0_rule.commute(),
         sub_0_rule,
         div_by_1_rule,
+        dropout_zero_rule,
+        dropout_inference_rule,
     ]
 )
diff --git a/onnxscript/rewriter/no_op_test.py b/onnxscript/rewriter/no_op_test.py
index 92172ec1f..4e509e7f3 100644
--- a/onnxscript/rewriter/no_op_test.py
+++ b/onnxscript/rewriter/no_op_test.py
@@ -177,6 +177,26 @@ def test_div_one_should_become_no_op_with_initializer(
         """
         )
 
+    @parameterized.parameterized.expand(
+        [
+            ("dropout zero ratio", "ratio=0.0"),
+            ("dropout inference", "training_mode=0"),
+            ("dropout inference with positive ratio", "ratio=0.42, training_mode=0"),
+            ("dropout training with zero ratio", "ratio=0.0, training_mode=1"),
+        ]
+    )
+    def test_dropout_zero_or_inference_no_op_with_initializer(self, _, attribute: str):
+        self._check(
+            f"""
+            <ir_version: 7, opset_import: [ "" : 17]>
+            agraph (float16[M] input) => (float16[M] output)
+            {{
+                output = Dropout<{attribute}>(input)
+            }}
+        """
+        )
+        # TODO: Test the negative cases
+
 
 if __name__ == "__main__":
     unittest.main()