Shock absorber with hydraulic pressure stop

The invention relates to a vibration damper having a hydraulic pressure stop, comprising a cylinder which is filled with a damping medium and in which a piston rod is guided in an axially displaceable manner, the cylinder having a first piston which is fixed to the piston rod and slides on an inner wall of the cylinder, a second piston having a smaller nominal diameter is arranged on the piston rod at an axial distance from the first piston, the second piston sliding in a pressure cylinder depending on the stroke position of the piston rod, the pressure cylinder being formed relative to the cylinder body by a separate pressure sleeve made of plastic, the pressure sleeve having a base, the pressure cylinder is supported on a metal base via a holding connection, the pressure sleeve has a circumferential centering ring in the direction of the base, which centering ring positions the pressure sleeve relative to the base, and the base of the base is coated with plastic on the top side thereof, the bottom of the pr