The invention concerns a method for the machining of the tooth edges between an axially facing surface and the tooth flanks of a gear with a machining tool that has a toothed contour. For the material-removing cutting operation, the machining tool, rotating about the axis of its toothed contour, is brought into rolling engagement with the toothed workpiece under a crossing angle different from zero between the rotary axes of the machining tool and the toothed workpiece.