A torsional vibration damper whose vibration damping performance will not be reduced in a high speed range. In the torsional vibration damper, a planetary gear is oscillated within a first oscillating range when a torsional torque is smaller than a reference torque, and within a second oscillating range when the torsional torque is greater than the reference torque. Each backlash between the pinion gear and at least one of a sun gear and a ring gear within the second oscillating range is individually wider than each backlash between the pinion gear and the sun gear and each backlash between the pinion gear and the ring gear within the first oscillating range.