In　this　paper,　optimal　parameters　in　hydrostatic　supported　worktable　system　with　circular　oil　recess　are　calculated.　The　optimal　model　is　established　in　which　the　objective　is　to　make　natural　frequency　deviate　from　speeds　of　the　rotary　work　axis,　and　the　design　variables　are　recess　number,　initial　oil　film　thickness　and　recess　radius.　As　the　design　variable　vector　includes　both　discrete　and　continuous　components,　two-phase　optimization　strategy　is　developed.　Furthermore　Fibonacci　method　is　applied　to　deal　with　the　problem　of　discrete　variable,　and　response　surface　methodology　is　used　to　form　an　explicit　expression　between　the　objective　expression　and　continuous　variables.　Then　the　optimal　model　is　solved　by　gradient　projection　method　and　simplex　method.　As　a　result,　numerical　calculation　of　dynamic　optimization　with　hydrostatic　worktable　system　with　circular　recess　shows　that　two-strategy　optimization　algorithm　is　stable　and　effectively.　©　(2013)　Trans　Tech　Publications,　Switzerland.