A motor-driven machine tool has a drive motor, the motor shaft of which is driven in rotation, with a tool drive shaft, which is driven in rotation or in oscillation about its longitudinal axis, and with a coupling drive for converting the rotational movement of the motor shaft into a driving movement of the tool drive shaft. Furthermore, a coupling is provided, which compensates an angular offset or change in position between the motor shaft and tool drive shaft which deviates from an axially parallel or right-angled arrangement of the two shafts.