A rotor for a rotary machine with permanent magnets includes an iron core member, permanent magnets, each having an arcuate cross section and arranged on an outer periphery of the iron core member, and a non-magnetic metallic pipe applied, under pressure, over outer peripheries of arcuate magnets. Each of the arcuate magnets is formed with chamfering on one end portion on its outer circumferential face in an axial direction, and the chamfering is small at its central portion, and becomes larger towards opposite sides in a widthwise direction of the arcuate magnet.