A golf putter head is generally triangular, when viewed from the top, with a flat, front face and a trailing, central tail. When viewed from the side, the head has a generally straight front face and a flat or slightly curved or rounded bottom surface. The shaft for the grip is anchored to the head at a generally central position on the top of the head, with the axis of the shaft from the ball contact point on the face of the putter head being about one-half the diameter of a legal U.S. golf ball. The head is formed and/or weighted so that the shaft is on the horizontal center of gravity of the putter head, and the vertical center of gravity is about midway between the top and bottom surfaces of the head.