A torsional vibration damper comprising a hub ring (2) surrounded by a flyring (1), the two being united by at least one resilient member and being angularly displaceable relative to each other, the resilient member (3, 4) being of columnar shape and extending in the radial direction, and a clearance (6) being provided next to the resilient member in the circumferential direction between the hub ring and the flyring. The resilient member comprises a radially inner first resilient element (3) and a radially outer second resilient element (4). The ends facing each other of the first and second resilient elements (3, 4) are fastened on the inside and outside to one end (5) of a one-armed lever (7) which projects into the clearance (6) between the hub ring and flyring. The other end (8) of the lever (7) is adapted to be caused by the centrifugal force generated at a particular speed of rotation to bear undislodgeably and with deformation of the first and second resilient elements (3, 4) on the opposite facing flyring surface (9) which outwardly bounds the clearance (6) to effect an uncoupling of the spring action of the second resilient element (4) from that of the first resilient element (3).