The present invention relates to an air conditioning apparatus for a hybrid vehicle, the air conditioning apparatus enabling offsetting of the temperature inside a vehicle into an optimal state by correcting the opening position of a temp door to be in an optimal state during a "motor operation mode" as well as, while having an engine re-operate during the "motor operation mode" on the basis of the temperature of engine cooling water, preventing unnecessary re-operation of the engine by changing a re-operation point of the engine in accordance with a "target discharge temperature" and the "opening position of the temp door", thereby aiming fuel efficiency enhancement. In order to attain the purpose, an air conditioning apparatus for a hybrid vehicle comprises a control unit for, after entering into a motor operation mode, re-operating an engine if the temperature of engine cooling water decreases to a lower limit or lower and stopping the engine, which has been re-operated, if the temperature of the engine cooling water increases to an upper limit or higher, wherein the control unit changes the lower limit and the upper limit in accordance with a target discharge temperature, which has been calculated on the basis of a temperature condition of the air inside and outside and a user set temperature, and controls during the motor operation mode a re-operation point of the engine so as to actively vary in accordance with the target discharge temperature.