Abstract: A clutch or damper disk assembly 1 is provided with a dampening mechanism 4 that relieves rising of a hysteresis torque, and thereby suppresses generation of noises and vibrations in a dampening mechanism having multi-stage characteristics. The clutch or damper disk assembly 1 includes an input rotary member 2, a hub 3 and a dampening mechanism 4. The dampening mechanism 4 is disposed between the input rotary member 2 and the hub 3 for transmitting a torque therebetween and dampening torsional vibrations. In the four stage embodiment, the dampening mechanism 4 includes a set of springs 21 (first stage), a set of springs 206 (second stage), a set of springs 16 (third stage), a set of springs 17 (fourth stage) and a pair of friction mechanisms 241 and 242. The springs 206 are disposed so as to operate in series with the springs 21. The springs 206 have a higher rigidity than the springs 21. The springs 16 are disposed so as to operate in series with respect to the springs 206.