A method for manufacturing a wound rotor or stator having more than four poles, preferably a rotor, the rotor or stator having teeth provided with pole shoes. The method includes the following steps, for each pole: (a) producing a partial winding by winding at least one conductor over the portion of the tooth of this pole extending axially along this pole between the pole shoes of this pole and a plane (Pmin) at right angles to the axis of the pole and tangential to a pole shoe of an adjacent pole, (b) pushing back the duly produced partial winding towards the base of the tooth, and freeing said portion of the tooth having been used for the winding, and (c) repeating step (a) to produce another partial winding on the duly released portion of tooth.