diff --git a/xarray/core/dataarray.py b/xarray/core/dataarray.py
index 94a5dd14e35..31935133837 100644
--- a/xarray/core/dataarray.py
+++ b/xarray/core/dataarray.py
@@ -1975,12 +1975,11 @@ def rename(
         ----------
         new_name_or_name_dict : str or dict-like, optional
             If the argument is dict-like, it used as a mapping from old
-            names to new names for coordinates or dimensions. Otherwise,
-            use the argument as the new name for this array.
+            names to new names. Otherwise, use the argument as the new name
+            for this array.
         **names : Hashable, optional
             The keyword arguments form of a mapping from old names to
-            new names for coordinates or dimensions.
-            One of new_name_or_name_dict or names must be provided.
+            new names. One of new_name_or_name_dict or names must be provided.
 
         Returns
         -------
@@ -1995,8 +1994,14 @@ def rename(
         if utils.is_dict_like(new_name_or_name_dict) or new_name_or_name_dict is None:
             # change dims/coords
             name_dict = either_dict_or_kwargs(new_name_or_name_dict, names, "rename")
+            if self.name in name_dict:
+                new_name = name_dict[self.name]
+                name_dict = {k: v for k, v in name_dict.items() if k != self.name}
+            else:
+                new_name = self.name
             dataset = self._to_temp_dataset().rename(name_dict)
-            return self._from_temp_dataset(dataset)
+            dataarray = self._from_temp_dataset(dataset)
+            return dataarray._replace(name=new_name)
         elif utils.hashable(new_name_or_name_dict):
             if names:
                 # change name + dims/coords
diff --git a/xarray/tests/test_dataarray.py b/xarray/tests/test_dataarray.py
index 9ad9ce4d35c..f48d9efb692 100644
--- a/xarray/tests/test_dataarray.py
+++ b/xarray/tests/test_dataarray.py
@@ -1699,7 +1699,9 @@ def test_rename(self) -> None:
         assert_identical(renamed_bothkw, expected_both)
 
         # change all
-        renamed_all = da.rename("name_new", dim="dim_new", coord="coord_new")
+        renamed_all = da.rename(
+            {"name": "name_new", "dim": "dim_new", "coord": "coord_new"}
+        )
         assert renamed_all.name == "name_new"
         assert renamed_all.dims == ("dim_new",)
         assert "coord_new" in renamed_all.coords
@@ -1711,6 +1713,13 @@ def test_rename(self) -> None:
         )
         assert_identical(renamed_all, expected_all)
 
+        # change all with kwargs
+        renamed_allkw = da.rename("name_new", dim="dim_new", coord="coord_new")
+        assert renamed_allkw.name == "name_new"
+        assert renamed_allkw.dims == ("dim_new",)
+        assert "coord_new" in renamed_allkw.coords
+        assert_identical(renamed_allkw, expected_all)
+
     def test_init_value(self) -> None:
         expected = DataArray(
             np.full((3, 4), 3), dims=["x", "y"], coords=[range(3), range(4)]