Abstract: A hydraulic shock absorber for use in a motor vehicle suspension system to reduce dynamic tilting of the vehicle. The shock absorber is of the conventional type having a cylinder, a piston arranged to move within the cylinder between two end stops, and a pressure medium arranged within the cylinder to damp the movement of the piston. A device is provided, according to the invention, for increasing the damping of the piston motion directed away from a particular end stop only after the piston has approached closer to that end stop than is usual during normal operation of the vehicle. The particular end stop, in this case, is the one near which the piston will be located when the associated motor vehicle wheel is unloaded.