A resilient face insert for a golf club head, preferably a putter head, is disclosed herein. In particular, the face insert comprises a plurality of hinge features spaced from a striking surface to ensure consistent ball speed across the striking surface. At least a portion of each hinge feature extends parallel to the striking surface without making contact with the striking surface. In the preferred embodiment, each hinge feature comprises a tab portion that is spaced from the striking surface by a stem portion and that extends parallel to the striking surface. The hinge features may be co-molded with a polymeric backing material having a plurality of parallel grooves in order to further improve performance of the face insert.