Disclosed herein are a bucket vibration damping structure and a bucket and turbomachine having the same. The bucket vibration damping structure comprises a plurality of blades disposed on a plurality of buckets mounted on an outer peripheral surface of a rotor disk and a variable contact-type vibration damping means disposed on the plurality of blades and performing variable contact according to rotational speed of a rotor for damping vibration. The variable contact-type vibration damping means may comprise a first damping member disposed on one of the blades, and a second damping member disposed at a position corresponding to the first damping member on the other blade. According to the disclosure, it is possible to effectively damp vibration while performing variable contact according to the rotational speed of a turbine.