To　optimize　the　component　placement　sequence　of　gantry　surface　mounting　machine,　the　mathematical　model　of　component　sequence　was　established,　and　the　triangular　probability　distribution　shuffled　frog-leaping　algorithm　was　proposed　with　the　strategy　of　selecting　several　frogs　for　meme　evolution.　These　frogs　were　selected　according　to　triangular　probability　distribution.　The　presented　algorithm　was　used　to　resolve　the　optimization　problem　of　component　placement　sequence.　Experiment　results　indicated　that　the　improved　algorithm　outperformed　shuffled　frog-leaping　algorithm　in　convergence　ratio　and　Genetic　Algorithm　(GA)　in　accuracy　and　convergence　ratio.　Known　from　parameter　analysis　that　better　solution　could　be　obtained　when　the　frog　population　number　increased　and　the　effect　of　memeplex　number　was　weaker　comparing　to　frog　population　number.　There　was　a　memeplex　number　corresponding　to　different　frog　population　number　which　ensured　the　algorithm　to　be　comparatively　stable.