Abstract: A golf putter head having a toe and a heel. The putter head has a face defining a ball-striking portion and lateral portions extending from the ball-striking portion toward the toe and the heel. There is a rear section spaced from the face, and a connecting section extending from the ball-striking portion of the face to the rear section. A pair of elongated weights, one weight coupled at one end to each of the lateral portions of the face at locations equidistant from the ball-striking portion, and each weight also coupled at its other end to the rear section, accomplish balanced peripheral weighting. The weights are preferably replaceable.