A head on a golf putter is configured to create overspin on a putted golf ball. An exemplary embodiment employs a body with a ball-striking face including a first curved segment with a first radius of curvature and a second curved segment with a second radius of curvature. The first and second curved segments define a curved surface extending from a bottom surface of the body. The first segment is positioned proximate to the bottom surface and the second segment is positioned intermediate the bottom surface and an opposing top surface of the body. The first radius of curvature is greater than the second radius of curvature. The face may have a third curved segment positioned intermediate the second segment and the top surface, with a third radius of curvature greater than the first radius of curvature. The position of the center of mass of the head also promotes overspin.