diff --git a/src/zarr/core/chunk_grids.py b/src/zarr/core/chunk_grids.py
index afecc6824f..ea050e39ef 100644
--- a/src/zarr/core/chunk_grids.py
+++ b/src/zarr/core/chunk_grids.py
@@ -138,6 +138,9 @@ def normalize_chunks(chunks: Any, shape: tuple[int, ...], typesize: int) -> tupl
             s if c == -1 or c is None else int(c) for s, c in zip(shape, chunks, strict=False)
         )
 
+    if not all(isinstance(c, numbers.Integral) for c in chunks):
+        raise TypeError("non integer value in chunks")
+
     return tuple(int(c) for c in chunks)
 
 
diff --git a/tests/test_api.py b/tests/test_api.py
index c7fc88241f..11977e8e32 100644
--- a/tests/test_api.py
+++ b/tests/test_api.py
@@ -47,6 +47,14 @@ def test_create_array(memory_store: Store) -> None:
     assert z.shape == (400,)
     assert z.chunks == (40,)
 
+    # create array with float shape
+    with pytest.raises(TypeError):
+        z = create(shape=(400.5, 100), store=store, overwrite=True)
+
+    # create array with float chunk shape
+    with pytest.raises(TypeError):
+        z = create(shape=(400, 100), chunks=(16, 16.5), store=store, overwrite=True)
+
 
 @pytest.mark.parametrize("path", ["foo", "/", "/foo", "///foo/bar"])
 @pytest.mark.parametrize("node_type", ["array", "group"])