diff --git a/moto/apigateway/models.py b/moto/apigateway/models.py
index aa02fcc25224..1bfb5111793f 100644
--- a/moto/apigateway/models.py
+++ b/moto/apigateway/models.py
@@ -2177,7 +2177,7 @@ def create_api_key(self, payload: Dict[str, Any]) -> ApiKey:
             self.account_id,
             self.region_name,
             # The value of an api key must be unique on aws
-            payload["value"],
+            payload.get("value"),
         ).generate()
         key = ApiKey(api_key_id=api_key_id, **payload)
         self.keys[key.id] = key
diff --git a/moto/utilities/id_generator.py b/moto/utilities/id_generator.py
index 53c9f3bf3a61..dadefdc64fb1 100644
--- a/moto/utilities/id_generator.py
+++ b/moto/utilities/id_generator.py
@@ -20,7 +20,7 @@ class ResourceIdentifier(abc.ABC):
     def __init__(self, account_id: str, region: str, name: str):
         self.account_id = account_id
         self.region = region
-        self.name = name
+        self.name = name or ""
 
     @abc.abstractmethod
     def generate(self) -> str: ...
@@ -57,7 +57,9 @@ def get_custom_id(
     def set_custom_id(
         self, resource_identifier: ResourceIdentifier, custom_id: str
     ) -> None:
-        # sets a custom_id for a resource
+        # Do not set a custom_id for a resource no value was found for the name
+        if not resource_identifier.name:
+            return
         with self._lock:
             self._custom_ids[resource_identifier.unique_identifier] = custom_id