Abstract: A method for simultaneously cutting and chamfering involute gears. The pressure angle .alpha..sub.1 and module M of the teeth of a hob for cutting the teeth are selected with respect to the nominal pressure angle .alpha..sub.0 and nominal module m of the gear to be cut according to the following equation: m cos .alpha..sub.0 =M cos .alpha..sub.1. According to the present invention, a single hob cutter is sufficient to cut gears having a wide range of numbers of teeth.