For　estimating　seismic　response　of　pier-structure　under　near-fault　ground　motion,　The　typical　pulse-type　near-fault　ground　motion　records　were　chosen　to　establish　a　record　base,　and　three　pier　models　with　different　natural　period　were　established;　the　effect　of　structural　response　estimation　by　using　the　non-elastic　response　spectral　displacement　of　ground　motion　was　studied　by　using　nonlinear　time　history　analysis,　and　the　influence　of　parameters　of　the　nonlinear　oscillator　on　seismic　response　estimation　was　observed.　The　study　is　important　for　structural　seismic　response　estimation　under　near-fault　ground　motion　and　the　probability-based　seismic　performance　evaluation.