A plate-link chain made up of a plurality of parallel plates arranged in rows extending in the running direction of the chain. The plates form chain links that are connected to adjacent chain links at a hinge joint. Elastically deformable damping plates extend parallel to the plates and interconnect adjacent chain links with each other elastically to allow bending movement of the chain as it passes around a wheel. The damping plates serve to damp strand vibrations that develop in the chain strand that extends between pulleys or gears about which the chain passes.