A flywheel assembly comprises a first flywheel connectable to an engine, a second flywheel, and an inter-flywheel viscous damping mechanism, providing viscous damping through a fluid of flywheel torsional vibrations. The second flywheel is rotatably supported on the first flywheel and has a friction facing on which a friction material presses. The second flywheel includes an annular capturing channel provided radially inward of the friction facing for capturing fluid from leakage driven on the friction facing side by centrifugal force, and a plurality of through-holes, extending from the capturing channel to a space between the flywheels, for guiding fluid captured by the capturing channel to the space.