Provided is a synchronous reluctance rotating electrical machine that has superior rotor strength, and that can be manufactured at low cost. Asynchronous reluctance motor has a rotor wherein a multiple of quadrature axes are formed in a circumferential direction. The rotor has two neighboring quadrature axis holes sandwiching a center bridge in the circumferential direction of the rotor in order to form one quadrature axis. The quadrature axis holes communicate with an outer periphery of the rotor on a side opposite to that of the center bridge. The center bridge is located on the outer side, in a radial direction of the rotor, of an inscribed circle of the multiple of quadrature axis holes. Also, the rotor 3 has a direct axis projection protruding in the direction of a direct axis between two neighboring quadrature axes.