The following was done in order to mechanically polish a bevel face after bevel finishing without manually polishing and thereby speed up the polishing process and improve uniformity of finishing precision, as well as obtain fashionable eyeglasses: That is, a polishing wheel (1) for polishing a bevel with a bevel polishing groove (83a) the shape of which essentially matches the bevel faces of the finished lens is used. The bevel is polished in two processes using said wheel (1). During the first process, the apex position of the bevel in the finished lens is displaced from the bevel-groove center position of the bevel polishing groove (83a) in the wheel (1) to the concave side of the lens and the polishing allowance on the concave side of the bevel faces is polished. During the second process, the bevel apex position is displaced to the lens convex side so that the bevel apex position of the finished lens and the center position of the bevel-groove in the wheel (1) match and the polishing allowance on the convex side and from the polishing irregularities that remained after the first polishing process is polished.