The invention relates to a method for the reduction of the natural vibration (resonance) of a component (2). According to the invention a vibration behavior of component (2) is determined, wherein to each of the positions having vibration amplitudes, which exceed a preset threshold value, an attenuation element (1) is locally mounted, which is formed as a multilayered adhesive element including a support layer (1.1) and a self-adhesive damping mass. Moreover the invention relates to an attenuation element (1) for the reduction of the natural vibrations of a component (2). According to the invention the attenuation element (1) is formed as a multilayered adhesive element of a support layer (1.1) and a self-adhesive damping mass (1.2), wherein the support layer (1.1) is formed of a bend-resistant material and the damping mass (1.2) preferably is formed of butyl rubber.