NOVELTY - The device (100) has a heat absorber (20) incorporated at a first part (21) of an air supply system (5) that provides pressurized air at high temperature compressed by an air compressor (11) to a fuel cell stack (1). A heat radiator (30) is incorporated at a part (31) of a stack cooling system (7), which cools a coolant circulating through the stack. A heat pipe (40) connects the absorber and the heat radiator. The pipe is filled with refrigerant. The absorber is arranged at low position than the heat radiator to flow the refrigerant from the heat radiator to the absorber.    USE - Device for cooling pressurized air and hydrogen supplied to a fuel cell stack of a fuel cell system of a vehicle passenger car i.e. sports utility vehicle, bus, lorry, different commercial vehicle, watercraft e.g. boat and ship, airplane hybrid vehicle, electric car, plug-in hybrid electric car, hydrogen-propelled vehicle and petrol propelled and electrical propelled vehicles. Can also be used for electric appliance of the vehicle.    ADVANTAGE - The temperature of the pressurized air at a high temperature part can be controlled by adjusting amount of that refrigerant, which is provided by the heat radiator to the heat absorber through the refrigerant supplier in correspondence with temperature of the pressurized air, which is detected by a temperature sensor, so that temperature of the pressurized air can be actively controlled under high output power operation condition of the fuel cell stack, and efficiency for refrigeration of air can be enhanced without using addition control unit by quick reactivity on rapid increase of the temperature of the pressurized air.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of a fuel cell system.    Fuel cell stack (1)    Air supply system (5)    Stack cooling system (7)    Air compressor (11)    Heat absorber (20)    Part of air supply system (21)    Heat radiator (30)    Part of stack cooling system (31)    Heat pipe (40)    Cooling device (100)