In an apparatus for damping courses of movement of two bodies or masses moving at variable velocities relative to one another and in their absolute positions, in particular for damping resilient wheel suspension systems in vehicles, in which a piston dividing a cylinder into two work chambers is dampingly affected in its particular movement direction (tension stage, compression stage) by controlled hydraulic throttle valves connected in series or in parallel with one another, parallel to the throttle valves, respective check valves opening in the opposite direction are provided, wherein the connections of all the valves remote from the work chamber connections are joined together and that a separate passive and (semi-) active damping effect be initiated. The necessary bandwidth of the frequency response of the electrohydraulic valves of apparatuses of this kind can be reduced drastically as a result.