A method for controlling a linear expansion valve of an air conditioning system, wherein when a refrigerant compression capacity of a compressor decreases from a first set value to a second set value, an aperture ratio of the linear expansion valve is controlled to decrease by a first predetermined value from an aperture ratio just before the refrigerant compression capacity decreases, resulting in attainment of a second specific value, whereas, when the refrigerant compression capacity of the compressor increases from the second set value to the first set value, the aperture ratio of the linear expansion valve is controlled to increase by a second predetermined value from an aperture ratio just before the refrigerant compression capacity increases, resulting in attainment of a third specific value.