A compound valve is provided which includes a body having a first heat-medium inflow port, a second heat-medium inflow port, a first or second heat-medium outflow port, a third or fourth heat-medium inflow port, a third heat-medium outflow port, a fourth heat-medium outflow port and a valve chamber; a cylindrical-shaped valve element having opening portions in its lateral side surface for allowing heat media to flow inside of the valve element, and also a partition member thereinside in the longitudinal direction; and a motor for controlling a rotation angle of the valve element, wherein the valve element is rotationally moved by the motor, and opening portions in the lateral side surface of the valve element communicate with either one of the first heat-medium inflow port or the second heat-medium inflow port, and with either one of the third heat-medium outflow port or the fourth heat-medium outflow port; two heat media having different properties flow adjacent to the partition member inside of the valve element; and, by controlling, by a rotation angle of the motor, areas of the communicating inflow ports and the opening portions, and those of the communicating outflow ports and the opening portions, the quantities of flow are controlled.