A description is given of a sound deadener composition comprising a polymer dispersion comprising (a) at least one water-dispersed polymer obtainable by emulsion polymerization of free-radically polymerizable monomers and having a glass transition temperature in the range from −60 to +60° C.; (b) inorganic fillers; and (c) at least one fluorinated compound selected from perfluoroalkyl-substituted carboxylic acids and their salts, fluorocarbon resins, surface-active, fluoroaliphatic polymeric esters, and fluorine-containing, acrylate-based copolymers. A description is also given of a method for damping oscillations or vibrations of components of vehicles and machines, using the sound deadener composition of the invention.