Abstract: A vibration damper for screw-driven mechanical systems includes a nut body and one or more attached damping elements. The nut body includes internal threads for cooperating with a lead screw of a screw-driven mechanical system. The damping element may be a viscoelastic material or other material. The damping element may be arranged on an outer surface of the nut body, and may either be exposed or protected by another element. A tuning mass may be applied to the vibration damper by attachment to the damping element. In some embodiments, the damping element is arranged on a cantilever element of the nut body. In other embodiments, the damping element is segmented and is distributed such that air passages are formed between the damping element segments.