Apparatus for damping vibrations between the output element of the engine and the power train in a motor vehicle has flywheels which are rotatable relative to each other. One flywheel is mounted on the output element of the engine and the other flywheel is connectable to the power train by a friction clutch. Vibration dampers are installed between the flywheels, and such dampers are confined in a housing which is provided on the one flywheel and contains a supply of viscous fluid medium for the parts of the dampers. The housing is the input element of the dampers and the output member of the dampers is a flange which extends into the housing and is axially movably coupled to the other flywheel. The flywheels rotate with respect to one another and the dampers contain resilient elements which selectively oppose rotation of the flywheels during various stages of rotation. The resilient elements are also arranged not to oppose rotation of the flywheels during an initial stage.