A putter head having a forward-facing striking surface, a heel, a toe, a top surface and a rearward-facing, elongated tail section. The elongated tail section has vertical side walls, into each of which is machined an elliptical track or groove along the inside surface. The elliptical tracks are spaced from each other at a width slightly less than the diameter of a golf ball, and are machined into the sidewalls at a predetermined angle of incidence such that, when viewed from directly overhead, the tracks will be perceived by the user as two parallel lines. If the user's eyes are not directly in line with the plane extending vertically from the centerline, then one of the tracks will increasingly disappear behind its respective sidewall, while the opposite track will appear to become increasingly curved, as the degree of misalignment increases. The putter thus provides a means of alignment that improves putting accuracy.