A valve driving device comprises a main case having one or more inlet pipes through which a fluid flows in from an external compressor and two or more outlet pipes through which the fluid flows out and also having built-in valve elements to open and close openings that are portions of a fluid path for the fluid and are connected to the outlet pipes to flow and stop the fluid and a driving portion for driving the valve elements. When the driving portion is driven in the driving direction, the openings and the valve elements together can switch between four operation modes (close-close, open-close, close-open, and open-open) with respect to the two outlet pipes; three or more of the operation modes, including the close-close mode, being obtained; the driving portion is driven back and forth while two modes of the three or more modes are assigned to be at both ends of the driving direction; and the close-close mode is assigned to be at one of the ends.