Abstract: The present invention is a golf putter having an offset shaft and balanced putter head which enables a golfer to accurately putt a golf ball towards a hole. The putter includes a shaft and a putter head. The shaft defines the toe portion and a heel portion of the putter head. The putter head includes a front surface, a back surface, a top surface, a bottom surface, and a receptacle defined by the putter head. The receptacle is preferably formed in the bottom surface of the putter head and receives a corresponding weighted plug. The center transverse axis of the weighted plug is axially aligned with the center transverse axis of the shaft along the longitudinal axis of the putter head to exactly balance, or at least approximately balance, the toe and heel portions of the putter head. The weighted plug is preferably inserted in the receptacle to balance the golf putter. In another embodiment, the weighted plug is attached to a surface of the putter head.