As　the　structure　of　the　ball　screw　is　long　and　narrow,　the　high　speed　performance　of　the　screw　will　be　affected　by　the　critical　speed　and　difficult　to　be　improved.　In　addition,　the　resonance　frequency　of　screw　exists　over　a　considerable　range　due　to　the　movement　of　the　nut.　For　overcome　this　problem,　multiple　tuned　mass　dampers　are　used　to　control　the　bending　vibration　of　ball　screw　in　this　paper.　After　establishing　the　dynamic　model　of　the　screw　with　multiple　tuned　mass　dampers,　the　frequency　response　function　of　the　bending　vibration　of　the　screw　can　be　calculated.　For　controlling　the　bending　vibration　of　the　screw　along　with　the　nut　changing　position,　a　numerical　optimization　algorithm　is　used　to　obtain　the　optimal　design　parameters　of　the　multiple　tuned　dampers.　The　simulation　results　show　that　the　multiple　tuned　mass　dampers　have　a　good　performance　in　the　control　of　the　bending　vibration　of　the　screw.