The purpose of the present invention is to provide a vehicle air conditioning system and a control method of the vehicle air conditioning system which enable detecting leaks of flammable refrigerant without requiring a separate sensor. This vehicle air conditioning system is provided with: a refrigeration cycle for cooling (23); a heat pump cycle for heating (33); a refrigerant that is very flammable, has an explosive range near room temperature, and circulates in the refrigeration cycle for cooling (23) and the heat pump cycle for heating (33); an outside temperature sensor (44) which detects the outside temperature; a pressure sensor (49) which detects the refrigerant pressure; and a control device which calculates the refrigerant density, which is the density of refrigerant, on the basis of the outside temperature and the pressure, and determines whether or not the refrigerant density has fallen below a prescribed threshold value which is based on the amount of sealed refrigerant, the total volume in the refrigeration cycle for cooling (23) and in the heat pump cycle for heating (33), the volume of the vehicle cabin, the standard density of the atmosphere, and the explosive limit of the refrigerant.