Abstract: In this connector for cables having optical fibers of the type comprising a body (19) having a bore (20) in which a female element (1) and a male element (2) are interconnected, the elements (1, 2) each comprise an arrangement (10, 18) for providing a mutual angular positioning of the elements, the female element (1) being covered with a tearable protective hood (13), and a device (24) is provided in the body (19) for immobilizing the hood (13) in the body. The angular positioning arrangement comprises on the male element (2) an inclined surface (18) on a member (17) surrounding the male element, and an inclined surface (10) inclined in a corresponding manner on the cut end of the body (9) of the female element and defining a sharp edge (11) adapted to cut and tear the hood from the interior.