The present invention provides a rotary electric machine and an electric power steering apparatus that can enable reductions in vibration and noise while increasing rigidity of a stator by linking together tip portions of adjacent teeth using magnetic bodies. In the rotary electric machine according to the present invention, a plurality of core sheets include linked core sheets that include linking portions that protrude circumferentially from flange portions so as to link together tip portions of adjacent tooth portions, at least one sheet of the linked core sheets is formed such that a tooth tip portion shape is mirror-asymmetrical relative to a tooth central axis that passes through a circumferential center of the tooth portions, and a stator core is configured by laminating the linked core sheets such that circumferential positions of the linking portions are offset.