A compression garment for applying compression to a part of a wearers body includes a flexible member, an inflatable bladder defining an inflatable chamber, a port for communication between a source of pressurized air and the inflatable chamber, and noise attenuating means. The noise attenuating means can include noise attenuating members on an air impingement surface of the inflatable bladder, or at least one air flow aperture in a delivery tube that delivers air into the inflatable chamber.