Abstract: The disclosed golf putter has a shaft and supported head with a bottom face or sole and a ball striking face angled relative thereto, similar to most any conventional putter, but the ball striking face is curved convex somewhat as a segment of a cylinder, instead of just being flat. The convex striking face curvature is about an axis substantially perpendicular to the bottom face, and defines a precise and limited generally centered sweet spot lying along a narrow vertical region where face-ball contact could be made; and immediately adjacent such region, the putter face is curved convexly away from the sweet spot. The convex putter face serves to compensate for many minor putting stroke errors, generally involving minor misalignments of the putting stroke line or squared up striking face with such line, where actual face-ball contact might not be on the exact sweet spot region but on the curved face adjacent thereto.