A dual clutch for coupling an engine-side input shaft (12) with a first transmission-side output shaft (28) and/or a second transmission-side output shaft (40) comprises a first clutch (18) having a first pressure plate (22) for coupling with a first clutch disk (24) connected to the first output shaft, said first pressure plate being axially mobile relative to a first counter plate (16). The dual clutch further comprises a second clutch (34) having a second pressure plate (36) for coupling with a clutch disk (38) connected to the second output shaft, said second pressure plate being axially mobile relative to a second counter plate (32). A co-rotating clutch cover (68) is connected to the first counter plate and the second counter plate. The dual clutch further comprises an actuator (48) for displacing the first pressure plate and/or the second pressure plate. According to the invention, the actuator is radially supported on the input side on the input shaft by the clutch cover and a torsional vibration damper which is indirectly or directly connected to the clutch cover, especially a flexible disk (14), and is radially mounted on the output side on one of the output shafts and/or on a transmission housing (70), thereby simplifying the design of the dual clutch, especially making a simplified absorption of the forces generated during actuation possible.