Abstract: A ball screw system has a screw (1, 2) and a nut (3) mounted thereon by means of balls (5). Redirecting portions (6) which delimit redirecting channels for circulating balls running in thread grooves of the screw and the nut are formed in openings extending transversely in the nut. The openings in the nut are filled with an initially liquid, solidifiable or curable material. The redirecting ball or recirculating channels are thereby cast therein.