A dual clutch for coupling an engine-side input shaft with a first and/or second transmission-side output shaft includes a first clutch which has a first pressure plate that is axially mobile relative to a first counter plate for coupling with a first clutch disk connected to the first output shaft, and a second clutch having a second pressure plate for coupling with a second clutch disk connected to the second output shaft, the second pressure plate being axially mobile relative to a second counter-plate. An actuating device displaces the first and/or second pressure plate, and a spring element is connected to the actuating device and a transmission housing, the spring element being axially resilient. Both the actuating device and the first counter-plate are radially supported mobile in the axial direction. The axial mobility of the dual clutch allows a simple assembly even with components that have work tolerance-related finishing inaccuracies.