Disclosed herein are a clutch and a compressor including the same. The clutch includes a hub fastened to a rotary shaft of the compressor to be rotatable together with the rotary shaft in a state in which a position of the hub is fixed, a disk fastened to the hub to be rotatable together therewith, a pulley rotated by power transmitted from a drive source of the compressor, an elastic member for fastening the hub and the disk such that the disk is movable toward or away from the pulley with respect to the hub, a field coil assembly magnetized when electric power is applied thereto to allow the disk and the pulley to come into contact with or separate from each other, and an attenuation member interposed between the elastic member and the disk. Accordingly, it is possible to reduce noise and vibration due to contact and separation between the disk and the pulley by the elastic member and the attenuation member.