The invention discloses a switch reluctance machine applied to an elevator traction machine in the technical field of motors. The switch reluctance machine comprises a rotor and a stator, wherein the rotor and the stator are coaxially arranged and can relatively rotate, the rotor is arranged on the outer circumference of the stator, four tooth poles with inward radial directions are uniformly distributed on the front end and the back end of the rotor, six tooth poles with outward radial directions are correspondingly and uniformly distributed on the front end and the back end of the stator, the phase difference of the tooth poles of the front end and the back end of the stator are 45 degrees in the circumference direction, the tooth poles of the front end and the back end of the stator are in same-phase arrangement in the circumference direction, a coil is wound around each tooth pole of the stator, and the coils of the two tooth poles with the opposite radial directions are in serial arrangement. When the switch reluctance machine works, each phase coil is sequentially communicated with a power supply to generate the magnetic flux, a magnetic line of force passes through an iron core of the rotor from the nearest tooth pole of the rotor, and the rotor can rotate in one direction under the traction of the magnetic force. The switch reluctance machine disclosed by the invention can reduce the torque ripple of the rotor so that the rotor stably operates and the noise and the vibration of the rotor during operation are greatly reduced; and the switch reluctance machine can be served as the elevator traction machine.