diff --git a/jsonschema/_validators.py b/jsonschema/_validators.py
index 4a1121aa0..bfcd1c133 100644
--- a/jsonschema/_validators.py
+++ b/jsonschema/_validators.py
@@ -59,8 +59,9 @@ def additionalItems(validator, aI, instance, schema):
     ):
         return
 
+    len_items = len(schema.get("items", []))
     if validator.is_type(aI, "object"):
-        for index, item in enumerate(instance[len(schema.get("items", [])):]):
+        for index, item in enumerate(instance[len_items:], start=len_items):
             for error in validator.descend(item, aI, path=index):
                 yield error
     elif not aI and len(instance) > len(schema.get("items", [])):
diff --git a/jsonschema/tests/test_validators.py b/jsonschema/tests/test_validators.py
index ac93f61e8..357e3880a 100644
--- a/jsonschema/tests/test_validators.py
+++ b/jsonschema/tests/test_validators.py
@@ -500,6 +500,23 @@ def test_additionalItems(self):
         self.assertEqual(e1.validator, "type")
         self.assertEqual(e2.validator, "minimum")
 
+    def test_additionalItems_with_items(self):
+        instance = ["foo", "bar", 1]
+        schema = {
+            "items": [{}],
+            "additionalItems" : {"type": "integer", "minimum": 5}
+        }
+
+        validator = Draft3Validator(schema)
+        errors = validator.iter_errors(instance)
+        e1, e2 = sorted_errors(errors)
+
+        self.assertEqual(list(e1.path), [1])
+        self.assertEqual(list(e2.path), [2])
+
+        self.assertEqual(e1.validator, "type")
+        self.assertEqual(e2.validator, "minimum")
+
 
 class TestErrorTree(unittest.TestCase):
     def setUp(self):