Abstract: For a stepping motor having a rotatable stator magnetic field for driving the rotor, there is disclosed a method of damping the oscillations of the rotor which occurs when the rotatable stator magnetic field is stopped upon arriving at a desired rotational position by measuring quantities related to the instantaneous velocity of the rotor due to the oscillations of the rotor about the desired rotational position, rotationally displacing the stator magnetic field from the desired rotational position in a direction opposite to the direction of the oscillation, and thereafter returning the stator magnetic field to the desired stopping position.