The　response　surface　method　(RSM)　for　structural　reliability　analysis　is　improved　by　proposing　a　new　strategy　for　positioning　sampling　points.　In　the　new　strategy,　one　of　the　initial　sampling　points　that　is　the　most　far　away　from　the　interpolate　point　is　replaced　by　the　interpolate　point　generated　in　every　iteration　step,　in　order　to　make　sampling　points　closer　to　the　design　point　on　the　actual　limit　state　surface.　A　new　group　of　points　are　then　established,　and　the　strategy　is　performed　in　the　next　iteration　process　until　the　convergence　condition　is　met.　So,　only　one　structural　analysis　is　performed　in　every　iteration　step　instead　of　2n　+　1　structural　analyses　are　needed　to　be　performed　in　conventional　RSM.　Examples　are　given　to　demonstrate　the　advantages　of　the　new　method　for　both　computation　cost　and　the　convergence　of　nonlinear　limit　function.　And　the　reliability　analysis　for　a　self-anchored　cable-stayed-suspension　bridge　planed　to　be　built　is　performed　under　service　limit　states　by　the　proposed　approach.