A clutch device which serves to connect the drive) of a motor vehicle with a multiple-speed shift transmission has, for this purpose, two friction clutches which can be engaged or disengaged independently from one another in that they are connected via their respective driven sides with a transmission input shaft. At least one of the friction clutches is in a working connection at its drive side with a driving member of a hydrodynamic clutch which can be activated at least under predetermined operating conditions of the drivetrain for transmitting torque introduced by the drive. At the same time, a driven member of the hydrodynamic clutch can be connected with one of the transmission input shafts.