In a rotor for a rotary electric machine, a claw pole assembly includes first claw poles and second claw poles. An annular cover member covers the outer circumferential surfaces of the first and second claw poles. The pole cover segments and the inter-pole cover segments are alternately arranged in the circumferential direction of the rotor. Each of the pole cover segments has a circular-arc shape around a first center, and each of the inter-pole cover segments has a circular-arc shape around a second center different from the first center. The first circumferential width of each pole cover segment and the second circumferential width of a corresponding one of the inter-pole segment adjacent to the pole cover segment have a predetermined ratio. The predetermined ratio varies in an axial direction of the rotor.