A torsional vibration damping arrangement, particularly for a drivetrain with an automatic transmission, includes an input region and an output region, wherein a first torque transmission path and parallel thereto a second torque transmission path and a coupling arrangement for superposing the torques transmitted via the torque transmission paths are provided between the input region and the output region. The torsional vibration damping arrangement further includes at least in the first torque transmission path a phase shifter arrangement for generating a phase shift of rotational irregularities transmitted via the first torque transmission path relative to rotational irregularities transmitted via the second torque transmission path.