A vibration damper with at least with at least two tube elements that are arranged one inside the other and a piston rod that is movable in a piston rod guide. A valve having a valve slide for at least partially closing at least one flow path of a fluid flowing through the valve is arranged in a region of one end of the piston rod guide. The valve has an input side and an output side. Pressure impingement areas of the valve slide are substantially the same size for an opening pressure and for a closing pressure, and the valve has a constriction via which a pressure difference between opening pressure and closing pressure can be generated.