A connector comprises a casing (2) inside which is mounted a conducting piece (9) having a slit (10) for retaining an electrical wire (16). Mounted so as to pivot inside this casing is a cage (8) having a cavity (13) for the engagement of a maneuvering rod and a cavity (15) for the engagement of the conducting wire (16). During the pivoting movement of the cage (8), the wire (16) is stripped locally and introduced into the slit (10), and the cage sits over that end of the conducting piece (9) which has the slit.