Motor vehicle shock absorber

A shock absorber for a wheel suspension of a motor vehicle, the shock absorber comprising:

• a damper tube at least partially filled with damping liquid and extending along an axis,
• a piston rod axially shiftable inside the damper tube,
• a piston housing connected to the piston rod and subdividing an interior of the damper tube into a piston rod-side working chamber and a working chamber remote from the piston rod,
• an on-off control valve axially movable inside the piston housing between a closed and an open position, the piston rod-side working chamber and the working chamber remote from the piston rod being hydraulically interconnected via the piston housing,
• a first damping valve inside the piston housing, having a soft damping characteristic, through which the damping liquid may flow in both flow directions, and connectable to a flow path of the damping liquid from one into the other working chamber through the control valve, and
• a second damping valve connected hydraulically in parallel to the first damping valve, having a hard damping characteristic, through which the damping liquid may flow in both flow directions, and in the interior of the piston housing.