Vibration damper, including a damping element and a pneumatic spring, wherein the damping element has a container tube, which is connected to a roll-off piston of the pneumatic spring. The roll-off piston is connected via an air suspension bellows acting as a rolling diaphragm to an external guide mounted concentrically and with freedom of axial movement with respect to the roll-off piston, the air suspension bellows and the roll-over piston forming the boundaries of a space filled with pressurized gas. The container tube is prepared for the installation of the roll-off piston by a non-cutting procedure suitable for mass production, wherein a length of tubing having the diameter of the container tube is mounted on a mandrel and clamped at both ends so that its length cannot change, and a pair of flow-turning/rotary-swaging rolls is pressed against the tubing and advanced toward each other to form an area of squeezed material. The rolls are then moved radially while being advanced axially over the area of squeezed material to form a first contour having a bevel, a cylindrical surface, and an axial stop for fitting the roll-off piston to the container tube.