Abstract: A golf club grip is formed of a hollow, inner socket and an outer jacket produced from different charges of thermoplastic rubber. The socket and jacket differ in stiffness characteristics, colors, or both stiffness and color. The outer jacket is molded onto the socket and bonded thereto throughout the surfaces of contact therebetween. The torsional stress on the jacket is transmitted to and resisted by the inner socket through the bonding that occurs throughout the interface between the jacket and the socket. Preferably, the socket has an inner socket core portion with a plurality of radially projecting protrusions. The structure of the jacket laterally surrounds the protrusions so that the outermost surfaces of the protrusions are exposed. The golf club grip is produced from a pair of identical mounting cores which are rotated between a pair of molding dies.