The torsional vibration damper acting between a drive and a housing of a hydrodynamic clutch arrangement includes a flywheel mass element, a drive-side damping element having a first side connected nonrotatably to the flywheel mass element, a takeoff-side damping element, the second side of the drive-side damping element being connected by elastic elements to the takeoff-side damping element for rotation in common, the elastic elements also allowing a small rotation of the drive-side damping element relative to the takeoff-side damping element, and an axially flexible drive plate. The takeoff-side damping element can be connected to the housing of the hydrodynamic clutch arrangement nonrotatably but with a certain freedom of axial movement by means of the drive plate.