A clutch and a compressor including the same, and may include a hub fastened to a rotary shaft of a compressor and rotatable with the rotary shaft in a state where its position has been fixed, a disk fastened to the hub and rotatable with the hub, a pulley rotated by receiving power from a driving source of the compressor, an elastic member fastening the hub and the disk, fastening the hub and the disk so that the disk approaches or is away from the pulley based on the hub, a field coil assembly magnetized when power is applied to contact or space the disk and the pulley, an attenuation member interposed between the elastic member and the disk, thereby reducing the noise and vibration due to the contact and spacing between the disk and the pulley by the elastic member and the attenuation member.