Abstract: A damper for vehicles is arranged with selectable or adjustable damping force characteristics that are essentially independent of other internal or external function factors in the damper. For this, fixing devices and a surrounding arrangement, piston arrangement and piston rod arrangement are utilized. In the event of a damping force arising on the arrangement's piston in a certain direction of the piston, an operating device with valves and pipes is arranged to ensure that there is an increase in pressure on the side of the piston facing towards the direction, while the pressure is essentially maintained on the side of the piston facing away from the direction. In addition, pressure-maintaining devices are included that ensure that the pressure in the arrangement is maintained in the event of the occurrence of pressure-affecting parameters. The damper is preferably arranged with adjusting devices that determine the damping force characteristics according to their setting.