On/off times of the air blower of a fuel cell hybrid vehicle equipped with a fuel cell as a main power source and a supercapacitor as an auxiliary power source are controlled to vary according to supercapacitor voltage, motor current, stack voltage and/or stack voltage rise/drop rate. Accordingly, the voltage of the fuel cell stack can be prevented from far exceeding a predetermined maximum voltage. Moreover, vehicle acceleration response during switching-off of the air blower can be improved.