To obtain a rotary electric machine capable of cancelling cogging torque of some degree and two-times next cogging torque, and torque ripple.SOLUTION: A rotary electric machine 1 includes multiple magnets 22 and a rotor core 21 embedded in the multiple magnets 22, a stator core 11 having a winding 12, and magnetic flux distribution density shift parts 31, 32 formed in the rotor core 21 or the stator core 11. The magnetic flux distribution density shift parts 31, 32 have a first gap side rotor core part 31 where the hoop direction lengths of hoop direction both end projections 31a, 31b of a radial direction side end part opposing the stator core 11 of the rotor core 21 are substantially the same with each other, a second gap side rotor core part 32 where the length of a hoop direction projection 32a is shorter than the length of the other hoop direction projection 32b, and a third gap side rotor core part 33 where the length of a hoop direction both end projection 33a of the radial direction side end part is longer than the length of the other hoop direction projection 33b.SELECTED DRAWING: Figure 1A