A damper has a damper chamber divided by a movable piston into first and second chambers, which are connected via a return channel, a controllable throttle valve and a connecting channel. A magnetic field source controlled by an electronic control device applies a magnetic field to a magnetorheological damping medium flowing through the throttle valve. A compensation chamber has a pre-loaded compensation volume connected to the throttle valve and the second chamber. A one-way circuit with one-way valves causes the damping medium to flow in the same direction of circulation when the piston rod plunges into the damper chamber and when it emerges therefrom. A first one-way valve on the piston allows the damping medium to flow from the second into the first chamber. A second one-way valve between the throttle valve and the second chamber allows the damping medium to flow from the throttle valve into the second chamber.