diff --git a/xarray/namedarray/_array_api/_statistical_functions.py b/xarray/namedarray/_array_api/_statistical_functions.py
index 09c7f6da0a7..40bc490fb0d 100644
--- a/xarray/namedarray/_array_api/_statistical_functions.py
+++ b/xarray/namedarray/_array_api/_statistical_functions.py
@@ -162,6 +162,7 @@ def prod(
     /,
     *,
     dims: _Dims | Default = _default,
+    dtype: _DType | None = None,
     keepdims: bool = False,
     axis: _AxisLike | None = None,
 ) -> NamedArray[Any, _DType]:
@@ -199,6 +200,7 @@ def sum(
     /,
     *,
     dims: _Dims | Default = _default,
+    dtype: _DType | None = None,
     keepdims: bool = False,
     axis: _AxisLike | None = None,
 ) -> NamedArray[Any, _DType]: