A bayonet connecting element and a process for the production of such a connecting element (1) for an electrical or optical connector, according to which a body (2), with a general hollow cylindrical shape, is produced, includes the following additional stages: a) a through bore (12) is made by piercing a wall (5) of the body of the connecting element from the outer surface (10) of the wall; b) the outer surface of the wall around the bore is machined in such a way as to hollow out a flat surface (11) around the bore; c) a lug (4) is inserted into the bore, from the outer surface of the wall, in such a way that a head (8) of the lug is projecting from the outer surface of the wall of the connecting element.