A dual clutch apparatus (10, 90, 100) provided with a first clutch having first plates (21A, 21B) that connect and disconnect power transmission from an engine to a first transmission input shaft and a second clutch having second plates (31A, 31B) that connect and disconnect power transmission from the engine to a second transmission input shaft, the dual clutch apparatus comprising: a first piston configured to press the first plates together to connect the first clutch by a hydraulic pressure supplied into a first hydraulic chamber and to separate the first plates to disconnect the first clutch by a first spring housed in a first hydraulic canceling chamber; a second piston configured to press the second plates together to connect the second clutch by a hydraulic pressure supplied into a second hydraulic chamber and to separate the second plates to disconnect the second clutch by a second spring housed in a second hydraulic canceling chamber; a first supply line (43, 50) configured to supply the hydraulic pressure to the first hydraulic chamber and the second hydraulic canceling chamber; a second supply line (45, 51) configured to supply the hydraulic pressure to the second hydraulic chamber and the first hydraulic canceling chamber; a first valve installed in the first supply line and configured to allow or block supply of the hydraulic pressure to the first hydraulic chamber and the second hydraulic canceling chamber; a second valve installed in the second supply line and configured to allow or block supply of the hydraulic pressure to the second hydraulic chamber and the first hydraulic canceling chamber; and a valve control unit that controls the first valve and the second valve, characterised in that, when a clutch connected state, in which one of the first valve and the second valve is opened to connect one of the first clutch and the second clutch and the other valve is closed to disconnect the other clutch, is changed to a two-clutch disconnected state, in which the first valve and the second valve are closed to disconnect the first clutch and the second clutch, the valve control unit closes the one valve and opens the other valve, and then closes the other valve before the other clutch is connected. a first piston configured to press the first plates together to connect the first clutch by a hydraulic pressure supplied into a first hydraulic chamber and to separate the first plates to disconnect the first clutch by a first spring housed in a first hydraulic canceling chamber; a second piston configured to press the second plates together to connect the second clutch by a hydraulic pressure supplied into a second hydraulic chamber and to separate the second plates to disconnect the second clutch by a second spring housed in a second hydraulic canceling chamber; a first supply line (43, 50) configured to supply the hydraulic pressure to the first hydraulic chamber and the second hydraulic canceling chamber; a second supply line (45, 51) configured to supply the hydraulic pressure to the second hydraulic chamber and the first hydraulic canceling chamber; a first valve installed in the first supply line and configured to allow or block supply of the hydraulic pressure to the first hydraulic chamber and the second hydraulic canceling chamber; a second valve installed in the second supply line and configured to allow or block supply of the hydraulic pressure to the second hydraulic chamber and the first hydraulic canceling chamber; and a valve control unit that controls the first valve and the second valve, characterised in that, when a clutch connected state, in which one of the first valve and the second valve is opened to connect one of the first clutch and the second clutch and the other valve is closed to disconnect the other clutch, is changed to a two-clutch disconnected state, in which the first valve and the second valve are closed to disconnect the first clutch and the second clutch, the valve control unit closes the one valve and opens the other valve, and then closes the other valve before the other clutch is connected.