In an arrangement for damping and/or retarding a movable part, including a housing with a pressure member slidably supported in the housing and a cylinder piston unit arranged in the pressure member and in the housing wherein the housing includes a mounting flange with a support surface provided with at least two throughbores, the mounting flange has at least two spaced guide surfaces which are oriented at least approximately normal to the support surface, the guide surfaces delimiting an adapter area at several sides thereof. The damping arrangement can be used and installed rapidly and accurately to various types of hinges.