A clutch plate for use in the friction clutch of an automotive vehicle has a driving unit with two spaced apart discs which are riveted to each other and one of which carries friction linings adapted to be driven by the flywheel when the clutch is engaged, and a driven unit which is connected to the driving unit by prestressed springs so that the driving unit can turn relative to the driven unit within a given range. The driven unit has a hub which drives the input shaft of the transmission and carries a flange between the two discs. An elastic washer is inserted in prestressed condition between the flange and one of the discs to damp the movements of the two units relative to each other, at least within a portion of the aforementioned range. The washer has radially outwardly or inwardly extending arms whose wedge-like tips are received in the openings of the one disc, radially outwardly or inwardly extending projections in frictional engagement with the one disc, and a ring-shaped bead whose convex surface is in frictional engagement with the flange of the hub.