In a vibration absorber for resonance vibrations of rotating bodies, in particular rail wheels, comprising several oscillatory plates which establish a damping mass; intermediate layers of damping material separating the plates from each other; a fastener connecting the plates with the rotating body at at least one point and an intermediate layer of damping material coupling the plates over a large remaining area to the rotating body the geometric dimensions of the plates and the intermediate layers and the Shore hardness of the damping material of the intermediate layers is selected such that all plates oscillate at a natural frequency of the rotating body to be damped, but with the amplitudes and phases of the vibrations of the individual plates differing in such a manner, with respect to one another, that the damping material is as strongly distorted as possible.