The present invention provides a rotary electric machine with improved reliability by suppressing a partial increase in surface pressure generated in a stator using a housing with improved roundness. The rotary electric machine of the present invention has a rotor, a stator, and a tubular housing for fixing the stator from an outer peripheral side. The housing has a flange extending in an outer peripheral direction at an axial end portion of an outer peripheral surface, and the flange has a recess extending in a circumferential direction.