A control apparatus for a multi-air-conditioner having an external unit and a plurality of internal units includes a DC electric power supply. An external transmitting/receiving circuit is provided with the external unit and is connected with the DC electric power supply, and a plurality of internal transmitting/receiving circuits are provided with the plurality of internal units and are connected serially with the external transmitting/receiving circuit via a signal line. A DC voltage is supplied for transmitting data from the external unit to the internal unit, which reduces a leakage distance of the circuit. A timing for transmitting data can be set freely, a transmitting speed of data can be improved using a high-speed photo-coupler, and thus an operation speed of the internal unit can be improved in the multi-air-conditioner having the plurality of internal units.