To provide a novel damper for a compressor that includes a vibration isolation system that suits the low rotation speed of a compressor of a cooling apparatus.A plurality of support projections that support annular mounting portions of a compressor at multiple points are provided at an upper end portion of a cylindrical support. The plurality of support projections elastically support the compressor so that the compressor has a high center of gravity and allow the compressor to be laterally displaced by vibration. Moreover, a bellows portion that is elastically deformed while being in contact with the annular mounting portion that becomes laterally displaced is provided. The elastic deformation of the bellows portion buffers the lateral displacement of the compressor and stirs a viscous fluid that fills inside thereof to buffer the vibration.