A　ball　screw　system　is　widely　used　as　a　mechanical　transmission　unit.　As　the　structure　of　the　ball　screw　is　long　and　narrow,　the　high　speed　performance　of　the　screw　is　affected　by　its　bending　vibration.　In　addition,　the　resonance　frequencies　of　the　screw　exist　in　a　big　range　due　to　the　movement　of　its　nut.　To　overcome　this　problem,　multi-tuned　mass　dampers　were　used　to　control　the　bending　vibration　of　the　ball　screw　here.　After　establishing　the　dynamic　model　of　the　screw　with　multi-tuned　mass　dampers,　the　frequency　response　function　for　the　bending　vibration　of　the　screw　was　calculated.　To　control　the　bending　vibration　of　the　screw　with　the　variation　of　its　nut　position,　a　numerical　optimization　algorithm　was　used　to　obtain　the　optimal　design　parameters　of　the　multi-tuned　dampers.　The　simulation　results　showed　that　the　multi-tuned　mass　dampers　have　a　good　performance　to　control　the　bending　vibration　of　the　screw.　©,　2015,　Chinese　Vibration　Engineering　Society.　All　right　reserved.