An integral one-piece cable tie including an elongated flexible strap having a row of teeth thereon, a frame integral with one end of the strap and having an abutment wall and an end wall and an entry surface and an exit surface and a strap-receiving opening therethrough, a ledge on the end wall, and a pawl pivotally mounted on and integral with the ledge within the opening and having a set of teeth shaped complementary to the row of the teeth and defining with the end wall a strap-receiving throat disposed normal to the longitudinal axis of the strap as molded; there also are disclosed methods of molding such a cable tie.