In this paper, a novel type of hybrid reluctance motor (HRM) drive is presented. This new motor is characterized by a stator formed by a combination of independent magnetic structures, each one composed of an electromagnet, the magnetic core with one or several coils wound on it, associated with a permanent magnet disposed between their poles. The rotor has the same configuration of a switched reluctance motor (SRM) without any coil, magnets, or squirrel cage. A particular case of this HRM, with three electromagnets with permanent magnets in the stator and five salient poles in the rotor, is studied. The motor is then analyzed and simulated. Finally, experimental results are given, and this type of motor drive is compared with the SRM drives of the same size. This new type of HRM does not present cogging torque and has higher power and efficiency than an SRM of the same size.