The suspension system has a hydraulic spring between each wheel and the chassis which is selectively supplied with hydraulic fluid or rented via respective controlled valves the stabilise the vehicle during cornering for improved handling The instability of the vehicle is detected and fed to a stabilisation control for providing corresp. stabilisation control values. A number of stores within the stabilisation control holds respective different stabilisation control values, one of which is selected via a mode selection switch.Pref. the instability measuring device includes a vehicle velocity detector and a steering angle velocity indicator used to provide the stabilisation control values for the stores