For the precision working of particularly hardened bevel gears, a method and an apparatus are disclosed in which the workpiece is moved during rolling contact with a bevel-gear-shaped tool having abrasive flanks. Workpiece and tool rotate in meshing relation with their axis spaced and crossed and each connected with a guide gear which also meshing engage and roll with one another. Both the workpiece-tool pair and also the guide-gear pair run each with backlash, however, on opposite flanks, so that the entire combination runs without backlash.