Abstract: An improved vertically-curved strike face for a golf putter, the roll radius for which is determined based on the given strike face height and loft selected, wherein, regardless of a given golfer's putting stroke style, and of variations within that stroke style, the improved curved strike face as determined permits consistently impacting the golf ball in a critical true roll zone just slightly below the equator. Custom-fitting, to accommodate a given golfer's extreme putting style, or a given course's daily Stimpmeter (trademark) reading, or green speed or mowed putting green conditions, can be achieved by selecting a given curved strike face loft and the resultant strike face roll radius. A basic form of the invention comprises a series of putters with different roll radii, for a given loft and strike face height.