diff --git a/graphene/types/tests/test_uuid.py b/graphene/types/tests/test_uuid.py
index d34f1664..d031387b 100644
--- a/graphene/types/tests/test_uuid.py
+++ b/graphene/types/tests/test_uuid.py
@@ -36,6 +36,21 @@ def test_uuidstring_query_variable():
     assert result.data == {"uuid": uuid_value}
 
 
+def test_uuidstring_invalid_argument():
+    uuid_value = {"not": "a string"}
+
+    result = schema.execute(
+        """query Test($uuid: UUID){ uuid(input: $uuid) }""",
+        variables={"uuid": uuid_value},
+    )
+    assert result.errors
+    assert len(result.errors) == 1
+    assert (
+        result.errors[0].message
+        == "Variable '$uuid' got invalid value {'not': 'a string'}; UUID cannot represent value: {'not': 'a string'}"
+    )
+
+
 def test_uuidstring_optional_uuid_input():
     """
     Test that we can provide a null value to an optional input
diff --git a/graphene/types/uuid.py b/graphene/types/uuid.py
index 773e31c7..5f10a22e 100644
--- a/graphene/types/uuid.py
+++ b/graphene/types/uuid.py
@@ -1,5 +1,6 @@
 from uuid import UUID as _UUID
 
+from graphql.error import GraphQLError
 from graphql.language.ast import StringValueNode
 from graphql import Undefined
 
@@ -28,4 +29,9 @@ class UUID(Scalar):
 
     @staticmethod
     def parse_value(value):
-        return _UUID(value)
+        if isinstance(value, _UUID):
+            return value
+        try:
+            return _UUID(value)
+        except (ValueError, AttributeError):
+            raise GraphQLError(f"UUID cannot represent value: {repr(value)}")