An intermittent and sequential compression device accommodates an angular placement and application of the device as used within a limb support. The support can incorporate a variety of supports and braces of the type that can be used with human limbs, and the joints of such limbs, in particular. Disposed within the support is a plurality of sequentially-disposed and intermittently inflatable and deflatable air chambers. Each air chamber has an air inlet port and an air outlet port, which can be the same structure or different structure. Each chamber port is to the first end of an air-passage tube. The second end of the air-passage tube is connected a pneumatic pump, the pneumatic pump being connected to an electric power supply and to a controller. The controller operates in accordance with a pre-programmed scheme to alternate the inflation and deflation of the air chambers.