The present invention relates to a torque transmission device in the drive train of a motor vehicle for torque transmission between a drive unit, in particular an internal combustion engine, a gearbox, and with a hydrodynamic torque converter. The torque converter lockup clutch comprises outer lamellae which work together with inner lamellae to connect to a driver plate which is connected to a torsional vibration damper. In order to provide a torque transmission device which has a long service life and can be produced economically, a coupling is fastened to the inner lamella carrier in such a manner that it cannot be turned, and to the radially inner edge area of the driver plate which bounds an annular space in which the radially inner edge area of the driver plate can be moved in the axial direction.