A torque transmission device having a torque converter which is accommodated in the drivetrain of a motor vehicle, for transmitting torque between a drive unit and a transmission, has a converter housing that is rotationally mounted about an axis of rotation and is nonrotatably connected to the drive unit. The torsionally fixed connection between the drive unit and the converter housing includes a tubular connecting element that is located coaxially to the axis of rotation of the converter housing.