An apparatus for controlling the damping coefficient of shock absorbers which are associated with the road wheels of the vehicle, produces control signals using one or more of a bouncing rate, a pitching rate and a rolling rate value which is filtered out of a plurality of outputs provided by a plurality of acceleration sensors which are each located in proximity of a shock absorber. The control signal can be modified using the outputs of weight sensors which are used to derive the relative velocities of the road wheels with respect to the vehicle body.