Abstract: A method of lapping a spherical head comprises the steps of: rotatably mounting a plurality of lapping fixtures having generally semi-spherical cavities, securing polishing liners in the generally semi-spherical cavities, applying a wetting agent and diamond suspensions, varying from a relatively coarse grit to a relatively fine grit, to the polishing liners disposed in the lapping fixtures, manipulating the robotic arm to sequentially bring a spherical head into engagement with the polishing liners disposed in the lapping fixtures while the lapping fixtures are spinning about their respective rotational axes and to vary the angle between the longitudinal axis of the spherical head and the rotational axes of the lapping fixtures and rinsing the diamond suspensions from the spherical head.