A rotary electric machine includes a rotor, a stator having coils wound to surround the rotor, a cylindrical ring member fixedly mounted on the stator by shrinkage fitting, and a frame disposed on the outside of the ring member with a gap created in between. The distance of the gap varies as a result of thermal expansion of the stator and the ring member. An outer surface of the ring member goes into contact with the frame when the stator and the ring member thermally expand, whereby the stator and the ring member are efficiently cooled.