diff --git a/pandas/core/base.py b/pandas/core/base.py
index 280b8849792e3..fc6550d45b0c3 100644
--- a/pandas/core/base.py
+++ b/pandas/core/base.py
@@ -801,7 +801,35 @@ def argmax(self, axis=None):
         return nanops.nanargmax(self.values)
 
     def min(self):
-        """ The minimum value of the object """
+        """
+        Return the minimum value of the Index.
+
+        Returns
+        -------
+        scalar
+            Minimum value.
+
+        See Also
+        --------
+        Index.max : Return the maximum value of the object.
+        Series.min : Return the minimum value in a Series.
+        DataFrame.min : Return the minimum values in a DataFrame.
+
+        Examples
+        --------
+        >>> idx = pd.Index([3, 2, 1])
+        >>> idx.min()
+        1
+
+        >>> idx = pd.Index(['c', 'b', 'a'])
+        >>> idx.min()
+        'a'
+
+        For a MultiIndex, the minimum is determined lexicographically.
+        >>> idx = pd.MultiIndex.from_product([('a', 'b'), (2, 1)])
+        >>> idx.min()
+        ('a', 1)
+        """
         return nanops.nanmin(self.values)
 
     def argmin(self, axis=None):