A rotary electric machine includes a stator, a rotor, and a field coil; the rotor includes a first magnetic pole having a first annular portion and a plurality of claw portions and a second magnetic pole having a second annular portion and a plurality of projection portions; in the rotor, the claw portions and the projection portions are circumferentially alternately positioned, and the first magnetic pole and the second magnetic pole are maintained in a non-contact state by providing a radial gap, a circumferential gap, and an axial gap between the first magnetic pole and the second magnetic pole; and the gap arrangement member has an axial positioning portion that is axially locked with respect to at least one of the first magnetic pole and the second magnetic pole, and axially positions the first magnetic pole and the second magnetic pole.