The synchronous motor includes at its rotor a thin-walled cylindrical cup member. This cup member includes at its outer side a plurality of rings which are electrically insulated against each other. A plurality of rod shpaed permanent magnets are in turn arranged at the surface of the rings and extend parallel to the rotor axis. Preferably a braking unit is located at the inside between the inner side of the cup and the rotor shaft which unit act as a standstill brake.