To provide a damping apparatus of a flywheel which is advantageous in the rotational balance and the center of gravity of a weight, and which is configured such that the number of holes formed in rotors is reduced to increase the inertia of the rotors and enhance the durability of the rotors.

A damping apparatus of a flywheel comprises: a pair of rotors provided in the flywheel and rotating along with the flywheel, which receive torsional vibration from an engine through the flywheel, face each other, and are restricted from moving relative to each other; and a weight provided between the rotors, which is configured such that the weight moves relative to the rotors in a direction in which the torsional vibration transmitted to the rotors is offset. A pendulum hole is formed in each of the weight and the rotors and extends in a direction in which the weight and the rotors move relative to each other. A pendulum roller is inserted in the pendulum holes so as to be movable in the pendulum holes so that the weight can move relative to the rotors.