diff --git a/array_api_tests/test_data_type_functions.py b/array_api_tests/test_data_type_functions.py
index 1189986c..0b5d14a1 100644
--- a/array_api_tests/test_data_type_functions.py
+++ b/array_api_tests/test_data_type_functions.py
@@ -130,6 +130,31 @@ def test_broadcast_arrays(shapes, data):
         raise
 
 
+@pytest.mark.min_version("2025.12")
+class TestBroadcastShapes:
+
+    @given(shapes=st.integers(1, 5).flatmap(hh.mutually_broadcastable_shapes))
+    def test_broadcast_shapes(self, shapes):
+        repro_snippet = ph.format_snippet(f"xp.broadcast_shapes(*shapes) with {shapes = }")
+        try:
+            out_shape = xp.broadcast_shapes(*shapes)
+            expected_shape = sh.broadcast_shapes(*shapes)
+            assert out_shape == expected_shape
+        except Exception as exc:
+            ph.add_note(exc, repro_snippet)
+            raise
+
+    def test_empty(self):
+        assert xp.broadcast_shapes() == ()
+
+    @given(shapes=hh.mutually_broadcastable_shapes(2, min_dims=1, min_side=3))
+    def test_error(self, shapes):
+        s1, s2 = shapes
+        s1 = s1[:-1] + (s1[-1] + 1,)
+        with pytest.raises(ValueError):
+            xp.broadcast_shapes(s1, s2)
+
+
 @given(x=hh.arrays(dtype=hh.all_dtypes, shape=hh.shapes()), data=st.data())
 def test_broadcast_to(x, data):
     shape = data.draw(