A vibration damper for a vehicle is provided. The vibration damper includes at least one damping cylinder made from a fiber composite material; a guiding element for guiding a piston rod of a piston movably arranged in the damping cylinder. The guiding element is located in a guiding end region at one end of the damping cylinder. A fastening element for use in attaching the at least one damping cylinder to a vehicle is located at a fastening end of the cylinder. At least one of the two end regions of the damping cylinder is conical or wedge-shaped and its element has a corresponding external form that is conical or wedge-shaped. A conical or wedge-shaped clamping sleeve located around the conical or wedge-shaped end regions of the damping cylinder.