A dual-tube shock absorber having a damping piston, which is joined to a vehicle body via a piston rod; an inner cylinder, guiding the damping piston, that is disposed in an outer cylinder which is connected to the vehicle axle and that together with the damping piston encloses an upper and a lower liquid-filled pressure chamber; a check valve which enables a liquid flow from an compensation chamber enclosed by the outer and inner cylinders to the lower pressure chamber; and a line, joining the upper pressure chamber to the compensation chamber, in which line a device is disposed that effects the damping of the shock absorber and is preferably electrically adjustable. To assure a long service life of the device, which is preferably embodied as a throttle valve, and to facilitate the laying of control cables, the line is extended through the damping piston, and the device is integrated with the damping piston.