A fixing point arranged at a guide rail consists substantially of a slide, which is movable along the guide rail and which is guided by guide shoes at the free limb of the guide rail and carries a yoke. A bracket, at which a damping element is supported, is arranged at the guide rail. The end of a belt is held by a connecting element, which in turn is suspended by a tie rod and nuts at the yoke. In the case of an emergency stop situation in which the brake of the drive unit retards the elevator car to standstill, the retardation forces arising in that case are transmitted by belt, connecting element and tie rod to the yoke, wherein the retardation forces produce a displacement of the slide downwardly into the spring-stressed position against the damping capability of the damping element.