As　a　approximation　method,　response　surface　method　(RSM)　is　widely　used　to　alleviate　the　computational　burden　of　structural　reliability　analysis.　However,　the　conventional　RSM,　whose　sampling　points　are　positioned　according　to　interpolate　point,　seems　to　be　ineffective　for　the　large　and　complex　structural　reliability　analysis　problems.　It　is　important　that　Positioning　sampling　points　close　to　the　actual　limit　state　surface　for　both　the　speed　and　precision　of　fitting　the　actual　surface.　Therefore,　a　new　strategy　for　positioning　sampling　points　is　proposed　in　this　paper,　which　in　the　group　of　initial　sampling　points　only　one　point　is　replaced　by　interpolate　point　generated　in　every　iteration　step,　the　point　is　of　the　largest　distance　between　the　two.　Then,　a　new　group　of　points　is　formed　to　perform　the　next　iteration　process　until　the　convergence　condition　is　meet.　So,　only　one　structural　analysis　is　performed　in　every　iteration　step,　while　2n+l　structural　analysis　is　needed　to　performed　in　conventional　RSM.　Examples　are　given　to　demonstrate　the　advantages　of　the　new　method　proposed　in　the　paper　for　both　convergence　and　computational　costs.　And　it　is　of　applicable　significance.