diff --git a/moto/iam/policy_validation.py b/moto/iam/policy_validation.py
index 6ee286072..d9a4b0282 100644
--- a/moto/iam/policy_validation.py
+++ b/moto/iam/policy_validation.py
@@ -152,8 +152,10 @@ class IAMPolicyDocumentValidator:
         sids = []
         for statement in self._statements:
             if "Sid" in statement:
-                assert statement["Sid"] not in sids
-                sids.append(statement["Sid"])
+                statementId = statement["Sid"]
+                if statementId:
+                    assert statementId not in sids
+                    sids.append(statementId)
 
     def _validate_statements_syntax(self):
         assert "Statement" in self._policy_json
diff --git a/tests/test_iam/test_iam_policies.py b/tests/test_iam/test_iam_policies.py
index e1924a559..adb8bd990 100644
--- a/tests/test_iam/test_iam_policies.py
+++ b/tests/test_iam/test_iam_policies.py
@@ -1827,6 +1827,23 @@ valid_policy_documents = [
                 "Resource": ["*"]
             }
         ]
+    },
+    {
+        "Version": "2012-10-17",
+        "Statement": [
+            {
+                "Sid": "",
+                "Effect": "Allow",
+                "Action": "rds:*",
+                "Resource": ["arn:aws:rds:region:*:*"]
+            },
+            {
+                "Sid": "",
+                "Effect": "Allow",
+                "Action": ["rds:Describe*"],
+                "Resource": ["*"]
+            }
+        ]
     }
 ]