A mallet-style golf ball putter with a hollow pipe component that has generally the same diameter as a golf ball, is positioned about the sweet spot in the vertical and lateral dimensions on the putter striking face, and extends longitudinally towards the rear of the putter to assist the golfer to align the striking face of the putter with the golf ball when in an address position and with the intended line of putt during takeback and follow-through. Peripheral weighting further enhances the moment of inertia of the golf putter head. The pipe component so designed permits a visual alignment of the striking face with the golf ball in the lateral and vertical dimensions and for a smooth perpendicular stroke along an axis of the pipe.