A clamping device with mechanical damping for a traction mechanism drive is provided. The device includes a clamping arm which carries a tension roller on one end thereof and is rotatably mounted in a housing at the other end thereof via a shaft connected thereto in a rotationally fixed manner, and is elastically supported on the housing by a torsion spring. A free end of the shaft is connected to a friction disk in a rotationally fixed manner, and a friction lining is arranged between the friction disk and an axial abutment surface of the housing. The invention reduces the friction lining wear and increases the damping capacity thereof. To accomplish this, a separate friction disk (7″″) is connected to a separate friction lining (8″″) in a positively locked manner without play, and the separate friction lining ((8″″) is in frictional contact with the axial abutment surface (10) of the housing (1).