A pneumatic compression garment comprises a flexible member for placement on a limb of a human body. A bladder in the flexible member defines an inflatable chamber. The bladder has an opening through which the inflatable chamber is inflated. A port mounted on the bladder has an air inlet adapted for communication with a source of pressurized air and an air outlet in communication with the inflatable chamber via the opening in the bladder. Pressurized air is delivered from into the inflatable chamber for inflating the inflatable chamber and thereby applying a compression force to the limb when the flexible member is in place on the limb. Noise attenuating means associated with the bladder opening is provided for reducing noise from air flow through the opening into the inflatable chamber.