Abstract: With high speed machine tools, there is a desire to dampen vibrations and to retain the damper mass in proper position. The present invention relates to a tuned damped absorber support providing simultaneous energy dissipation in both horizontal and vertical directions which also provides for proper mass position retention. The tuned damped absorber assembly is attached directly or indirectly to a machine component requiring damping. Both single damper mass and double damper mass configurations are shown. With a double damper mass, the system can be tuned to two different frequencies. Therefore, the double damper mass provides for optimization in both a vertical and a horizontal direction.