Abstract: A lapping machine for correcting the asymmetrical hardening distortions which occur during the hardening of gear wheels, especially bevel gears, is disclosed. This machine is particularly advantageous in connection with large bevel gear transmissions or drives produced in small batches. This is achieved by selective lapping, in that both bevel gears are each driven by a respective separate speed-regulated electric motor. An electronic transmission or drive, also referred to as an electric shaft, controls and regulates one electric motor to serve as the master motor and the other to serve as the slave motor as a function of the rotational speed of the master motor and the gear ratio of the two bevel gears. A device serves for controlling and regulating a selectable relative lapping torque.