The　article　provides　a　new　way　of　site　response　analysis　using　staggered-grid　finite　difference　approach.　To　complete　the　site　response　analysis　by　simulating　the　wave　propagation　in　soil,　and　the　variables　of　stress　and　velocity　represent　the　characteristics　of　site.　At　last,　to　analyze　some　non-linear　one-dimensional　site　and　to　compare　the　result　obtained　by　the　staggered-grid　finite　difference　technique　with　those　obtained　by　lumped-mass　method　and　SHAKE.　The　results　show　that　the　method　of　staggered-grid　finite　difference　is　useful　for　analysis　of　site　response.