Abstract: A damping element shaped as a cylindrical hollow body having an end-side stop and a wall surrounding the body with annular flanges extending around the wall spaced relative to one another. The annular flanges and the wall between the annular flanges have different thicknesses. A method for producing the damping element, includes first producing a blank of the cylindrical hollow body and subsequently upsetting the body to simultaneous shorten it in the direction of the upsetting force by at least 20% of its original length. Then, the walls of the cylindrical hollow body are convexly arched between the annular flanges to form a bellows-like configuration.