An electrode is adapted to be surgically implanted around a nerve bundle to provide for the selective stimulation thereof. The electrode comprises a biocompatible and dielectric carrier formable from a flattened, opened position to a closed position around the nerve bundle. In its opened position, the carrier exhibits a main body portion extending in the direction of a longitudinal wrapping axis of the carrier and flap portions extending transversely outwardly from opposite ends of the main body portion and from the axis. At least one electrode contact is secured on an inner surface of the carrier and is welded to a wire lead, adapted for connection to a receiver implanted on a patient. In carrying forth the method steps for making the electrode, the carrier originally constitutes a tube that is suitably cut to form the main body and flap portions thereof. The electrode contact is then secured to an inner surface of the carrier and welded to the wire lead.