A torque transmission device of a motor vehicle which transmits torque from an internal combustion engine to a torque converter, wherein the torque transmission device includes transmission part connected to the torque converter in a first radius region having a quantity of fastening elements lying on a first radius and connected to the internal combustion engine in a second radius region having a quantity of fastening elements lying on a second radius. To reduce loading of the fastening elements, the transmission part is provided with recesses in the first radius region and/or in the second radius region that extend at least partially over the first or second radius region and lessen the axial rigidity of the transmission part.