A torque transmitting unit in the power train of a motor vehicle for transmitting torque between a drive unit having an output shaft and a transmission having at least one input shaft. At least one clutch unit is positioned between the drive unit and the transmission, and at least one vibration damping unit having an input part and an output part is provided and is connected between the drive unit output shaft and the clutch unit. The clutch unit includes a clutch cover that defines a clutch-containing volume and that is supported by a transmission housing section. The vibration damping unit is positioned with in the clutch-containing volume defined by the clutch cover. For optimization of structural space, both the input part and the output part of the vibration damping unit are supported in the radial direction by the clutch cover.