A passive safety belt arrangement for vehicles includes a motor and an actuating element that is strong in tension and compression. This element is driven in either of its longitudinal directions so as to propel a traveler attached to one end of the belt along a track on the body of the frame of the vehicle between a release position and a restraint position. A control system for the motor has at least two limit switches assigned to the two extreme positions of the traveler. One of the switches assigned to the release position is arranged so that it is actuable by a stud at the end of the actuating element which is away from the end holding the traveler.