A torsional vibration damper has primary and secondary masses rotatable with and relative to each other about a common axis, and a torsionally elastic damper which opposes rotation of the masses relative to each other and operates in series with a torque limiting device. The latter comprises a pair of ring-shaped lateral members flanking a ring-shaped intermediate member which can stress the energy storing elements of the torsionally elastic damper. One of the lateral members is a prestressed diaphragm spring which is riveted to the other lateral member. The maximum torque which can be transmitted by the torque limiting device is greater than the maximum torque which can be transmitted by a friction clutch between the secondary mass and the transmission of a motor vehicle. The primary mass can receive torque from the engine of the vehicle.