A dual clutch arrangement for a transmission that is provided with a first input shaft and a second input shaft has a clutch housing that is connectable to a drive train in a rotationally fixed fashion. The first and second friction clutches can transmit a torque between the clutch housing and the first and the second input shafts, respectively. The first and second friction clutches are nested in the radial direction with respect to each other and actuated by a first and a second actuating unit that have pistons for pressuring clutch disk packs. The compressive force exerted by the piston of the first actuating unit and the compressive force exerted by the piston of the second actuating unit are directed in axially opposite directions with respect to each other.