To　reduce　a　mass　of　calculations　with　solving　multiple　constraints　for　variable　programming,　The　variable　separable　programming　was　transformed　into　a　problem　with　single　constraint　by　using　coherency　function.　The　engineering　problem　of　multiple　constraints　and　multi-objective　condensed　into　a　approximation　and　control　by　approximation　precision　parameter,　to　solve　the　original　problem　and　analyses　the　variable　separable　objective　function　∑i=1n　fi(xi)　and　KS(ρ,x)　constructed　as　L(x,λ)　functions.　Its　saddle　point　condition　is　obtained　in　terms　of　the　Lagrange　multiplier　method.　Then　by　mean　of　utilizing　Taylor　formula,　the　condition　is　expanded　to　an　approximate　equation.　Some　numerical　experiments　show　that　the　proposed　algorithm　is　feasible.