Abstract: Deflection detection pick-ups are arranged at the wheels or wheel suspensions of the vehicle, from the signals of which pick-ups a computer determines an averaged pitch angle. These averaged actual values are compared with predetermined or predeterminable set values. the correction of the supporting forces of the support assemblies effected thereupon by the computer is dependent on the extent to which the vehicle body has to execute pure lifting movements, pure rolling movements and/or pure pitching movements to approximate the actual values to the set values and in which proportions the forces necessary for the damping of rolling or pitching movements are to be applied by the support assemblies of the front or rear wheels. In this case, the forces serving for the compensation of rolling movements can be distributed over the front and rear wheels in such a way that a desired control tendency of the vehicle, in particular a tendency toward under-controlling, is obtained.