diff --git a/ci/code_checks.sh b/ci/code_checks.sh
index dbb799779c1c4..740cdb6eb0865 100755
--- a/ci/code_checks.sh
+++ b/ci/code_checks.sh
@@ -83,7 +83,6 @@ if [[ -z "$CHECK" || "$CHECK" == "docstrings" ]]; then
         -i "pandas.Grouper PR02" \
         -i "pandas.Index PR07" \
         -i "pandas.Index.join PR07,RT03,SA01" \
-        -i "pandas.Index.names GL08" \
         -i "pandas.Index.ravel PR01,RT03" \
         -i "pandas.Index.str PR01,SA01" \
         -i "pandas.Interval PR02" \
diff --git a/pandas/core/indexes/base.py b/pandas/core/indexes/base.py
index e93db22906b39..224e9982cacd1 100644
--- a/pandas/core/indexes/base.py
+++ b/pandas/core/indexes/base.py
@@ -1799,6 +1799,23 @@ def _get_default_index_names(
         return names
 
     def _get_names(self) -> FrozenList:
+        """
+        Get names on index.
+
+        See Also
+        --------
+        Index.name : Return Index or MultiIndex name.
+
+        Examples
+        --------
+        >>> idx = pd.Index([1, 2, 3], name="x")
+        >>> idx.names
+        FrozenList(['x'])
+
+        >>> idx = s = pd.Index([1, 2, 3], name=("x", "y"))
+        >>> idx.names
+        FrozenList([('x', 'y')])
+        """
         return FrozenList((self.name,))
 
     def _set_names(self, values, *, level=None) -> None: