A vibration damper, assigned to a wheel of a vehicle, includes a damper cylinder, a damper piston with a piston rod configured to be guided in the damper cylinder, and a damper chamber, formed in the damper chamber on each side of the damper piston. The vibration damper further includes a pressure accumulator, in the form of a gas pressure cushion, connected to the damper chamber lying opposite the piston rod. The vibration damper is mounted on the vehicle body by a damper mount with a rubber-elastic body that is deformable in a shifting direction of the damper piston. A hydraulic pressure chamber is formed in the damper mount, and is connected via a fluid-conducting connection to the damper chambers whose volumes are respectively reduced when the wheel is deflected in relation to the vehicle body. The damper chambers are connected hydraulically to one another via a hydraulic pump driven by a motor. The damper mount includes a spring element that acts on the rubber-elastic body in the shifting direction of the damper piston, such that a spring force of the spring element, in the case of a stationary damper piston and equality of pressure in the two damper chambers, results in forces acting on the rubber-elastic body in the shifting direction of the damper piston to at least approximately cancel one another out.