A low-cost vehicle air-conditioning apparatus for idle stopping vehicles is capable of performing both cooling and heating operations throughout the year. The air-conditioning apparatus includes an engine-driven compressor and engine-driven pump for a heating unit. The air-conditioning apparatus includes a motor-driven compressor and pump. A control unit drives the motor such that the motor-driven compressor is operated when there is a need for cooling and the motor-driven pump is operated when there is a need for heating when the engine is stopped. Battery power is conserved through various methods.