A dual clutch device includes a first piston applying a first clutch by a hydraulic pressure supplied into a first hydraulic pressure chamber and releasing the first clutch by a first spring, a second piston applying a second clutch by a hydraulic pressure supplied into a second hydraulic pressure chamber and releasing the second clutch by a second spring, a first supply line supplying a hydraulic pressure into the first hydraulic pressure chamber and a second hydraulic pressure canceling chamber, a second supply line supplying a hydraulic pressure into the second hydraulic pressure chamber and a first hydraulic pressure canceling chamber, a first valve allowing or cutting the supply of hydraulic pressure into the first hydraulic pressure chamber and the second hydraulic pressure canceling chamber, and a second valve allowing or cutting the supply of hydraulic pressure into the second hydraulic pressure chamber and the first hydraulic pressure canceling chamber.