A covering element for an alternator pole includes a body which is provided with a portion adapted to be fitted on the alternator pole and a portion adapted to be fitted on the cable that is connected to the alternator pole. The portion of the body which is adapted to be fitted on the alternator pole is provided with coupling teeth which are adapted to allow coupling to a coupling flange of the alternator pole. At least one of the teeth is elastically yielding so as to allow the coupling of the covering element to different diameters of the coupling flange.