diff --git a/array_api_strict/_array_object.py b/array_api_strict/_array_object.py
index 8849ce3..18ed327 100644
--- a/array_api_strict/_array_object.py
+++ b/array_api_strict/_array_object.py
@@ -647,6 +647,15 @@ def __invert__(self: Array, /) -> Array:
         res = self._array.__invert__()
         return self.__class__._new(res)
 
+    def __iter__(self: Array, /):
+        """
+        Performs the operation __iter__.
+        """
+        # Manually disable iteration, since __getitem__ raises IndexError on
+        # things like ones((3, 3))[0], which causes list(ones((3, 3))) to give
+        # [].
+        raise TypeError("array iteration is not allowed in array-api-strict")
+
     def __le__(self: Array, other: Union[int, float, Array], /) -> Array:
         """
         Performs the operation __le__.
diff --git a/array_api_strict/tests/test_array_object.py b/array_api_strict/tests/test_array_object.py
index e061a94..407bff2 100644
--- a/array_api_strict/tests/test_array_object.py
+++ b/array_api_strict/tests/test_array_object.py
@@ -416,3 +416,7 @@ def test_array_namespace():
 
     pytest.raises(ValueError, lambda: a.__array_namespace__(api_version="2021.11"))
     pytest.raises(ValueError, lambda: a.__array_namespace__(api_version="2023.12"))
+
+def test_no_iter():
+    pytest.raises(TypeError, lambda: iter(ones(3)))
+    pytest.raises(TypeError, lambda: iter(ones((3, 3))))