The object of the inventional system is the so-called "modal" variant of the skyhook damping. The advantage of this variant over the local version is essentially constituted by enabling an individual damping of the eigenoscillation forms. Moreover, a definitive roll or sway moment distribution can be adjusted. For that purpose there are signals determined which represent the local vehicle body movements at selected points of the vehicle body. Basing on these signals, the heave, roll and pitch movements are inferred. These movements are differently weighted depending on travel maneuvers. By actuation of the damper systems dependent on the weighted heave, roll and pitch movements a specific influencing of certain components of the body movement is possible.