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　non-elastic　response　spectral　displacement　of　ground　motion　was　used　to　estimate　the　nonlinear　response;　The　yield　displacement　of　the　nonlinear　oscillator　was　defined　based　on　the　static　pushover　analysis　result,　and　its　influence　on　response　estimation　was　studied.　The　study　result　is　important　for　structural　seismic　response　estimation　by　using　the　non-elastic　response　spectral　displacement　and　the　probability-based　seismic　performance　evaluation.