A putter constructed for an improved golf swing with the desired straight back-and-forth stroke. The putter has a bi-weighted club head with a front face and a butt end. A first weight is positioned behind the front face and a second weight is positioned near the butt end of the club head spaced behind the first weight. The putter has a shaft attached to the club head well behind the front face at the location of the second weight. The shaft is angled toward the front face, so that the golfer's hands are positioned over the front face of the club when lining up a putt. The putter has a modified grip that is shaped to fit the golfer's palm, has a flat surface for placing the thumb, and a flat finger pad for receiving the fingertips.