To provide a torsional vibration damping device capable of producing desired vibration damping performance by preventing or suppressing the occurrence of abnormal noises when the rotating speed of a rotating body is low, and removing foreign matters such as abrasion powder when produced, to give smooth rolling to a rolling element.

A torsional vibration damping device 1 includes a rolling element 5 for rolling on a rolling surface 4 formed on a rotating body 2 which is rotated by receiving torque, with the torsional vibration of the rotating body 2. It further includes members 6, 7 to be moved on the rolling surface 4 along with the rolling of the rolling element 5 to remove foreign matters from the rolling surface 4.