A high speed electromagnetic rotating machine is arranged to avoid heat generation due to mutual inductance between a stator and rotor and has a stator provided with drive windings for generating a rotating magnetic field to rotate the rotor and position control windings fitted to the stator for generating a magnetic field having a different number of poles than that of the drive windings for controlling the axial or radial position of the rotor when an electric current sufficient to unbalance the magnetic field applied to the rotor by the drive windings is supplied to the position control windings. The rotor has a cage conductors interconnected to form a plurality of closed circuits mounted to the rotor, the closed circuits having a number of poles set so that there is no mutual inductance between the position control windings and the cage conductors. The cage conductors are connected by circumferentially-divided end rings rigidly connected by a retaining ring or by axially divided end rings directly connected to the rotor shaft. In one embodiment, the cage conductors are arranged in four-pole closed circuits, the drive windings have four poles, and the position control windings have two poles. In an alternative embodiment, the cage conductors may be arranged in two-pole closed circuits, the drive windings have two poles and the position control windings have four poles.