Abstract: The invention relates to a vibration-damping apparatus (18) for a winding device (4) of a textile machine (1), which textile machine produces cross-wound packages (5), the vibration-damping apparatus being provided for reducing the vibrations that occur at the pivotably mounted package cradle (8) during the winding operation of the textile machine (1). According to the invention, in order to obtain a vibration-damping apparatus which is unproblematic both with regard to safety and with regard to contamination and which also always ensures a vibrationally relatively stable state of the package cradle, the vibration damper is in the form of a friction damper (20) having friction forces of different intensity depending on the working direction, the friction forces acting as the cross-wound package (5) lifts off during the winding operation being greater than the friction forces acting during the return of the cross-wound package (5).