more yaw rate sensors ds which measure at least the yaw rate u03c9 around one axis in the longitudinal direction of the vehicle the at least one measured yaw rate u03c9 is fed to a processor pz which infers from the measured data whether the vehicle movement detected will result in a rollover according to a predefined algorithm if the measurement data evaluation in processor pz shows that a rollover of the vehicle is imminent processor pz supplies a rollover decision signal el at its output in order to be sure that this rollover decision el is not erroneous a plausibility check is performed a trigger signal b for restraint devices rs e g airbags roll bar seat belt tightening system etc is generated only if a signal branch for plausibility checking which is described in the following also provides a rollover decision signal e 2 in fig1 the gating of both rollover decision signals e 1 and e 2 and trigger signal b arising from this is symbolized by an and gate ug two acceleration sensors bsz bsy are located in the signal b ranch for plausibility checking of rollover decision el acceleration sensor bsz measures acceleration az of the vehicle in the direction of its vertical axis and acceleration sensor bsy measures acceleration ay of the vehicle in the direction of its transverse axis measurement signals az and ay provided by the two acceleration sensors bsz bsy are fed to a threshold.