A rotary electric machine including a rotor having salient poles, each salient pole comprising a pole body surrounded by at least one coil, and at least one pair of wedges comprising a first wedge positioned against the coil of a first salient pole and a second wedge positioned against the coil of a second salient pole consecutive with the first. The first and second wedges are able to move in the inter-pole space with respect to one another along the longitudinal axis of the rotor, and each having at least one contact surface, the contact surface or surfaces of the first wedge being configured to come into contact with the contact surface or surfaces of the second wedge as one wedge is moved longitudinally with respect to the other in such a way that the movement of one wedge with respect to the other induces a pressing of these wedges against the coils so as to hold the coils of the first and second salient poles respectively against the pole bodies of the first and second salient poles.