A damper has a cylinder and a piston, the piston having two or more parts. A first piston part is made of a rubber-elastic material forced against the cylinder wall during a damping stroke. A second piston part is made of a material that is stiffer in comparison to the rubber-elastic material. The second piston part as seen in the radial direction lies between an area of the first piston part and the cylinder wall. The first piston part may have at least two sections of different hardnesses over its lengths. The piston could also include a piston part that is radially forced outwards to rub against the cylinder wall during damping, the piston part being made as a solid body of a material with rubber-elastic properties which becomes flattened under pressure, deforming in such a way that a friction seal is created between the piston part and the cylinder wall.