Abstract: This invention has an object to reduce the pulley manufacturing costs by eliminating a time-wasting step when bonding an elastic member of a damper unit. In a pulley for a clutchless compressor comprising a hub unit (30) fixed to a drive shaft of the compressor and a damper unit (31) disposed between a member caused to rotate in response to a drive force imparted from a drive source and the hub unit (30) to achieve a buffer effect via an elastic member (42), the hub unit (30) and the damper unit (31) are formed as separate members independent of each other and engaging means (38) and (44) used to engage the hub unit (30) and the damper unit (31) with each other are included.