A cooling structure for a rotary electric machine uses coolant to cool coil end portions that protrude outward, one from each end surface of a stator core, in a stator that includes a stator core and coils that are wound in a circumferential direction of the stator core. This cooling structure includes a lead side cover member that covers a lead side coil end portion to which a lead wire that supplies electricity to the coils is connected, and forms a first coolant chamber within which coolant is stored; and a non-lead side cover member that covers a non-lead side coil end portion positioned opposite the lead side coil end portion in the axial direction, and forms a second coolant chamber within which coolant is stored. A coolant communicating path is provided that communicates the first and second coolant chambers in a manner that enables coolant to flow therebetween.