To　obtain　the　most　applicable　intensity　measure　of　a　near-fault　ground　motion　for　evaluating　the　aseismic　performance　of　a　pier,　three　pier　models　with　different　natural　periods　were　established　and　a　suit　of　real　ground　motion　records　was　selected　to　establish　a　record　base.　By　using　incremental　dynamic　analysis　and　statistic　inference　method,　the　applicability　of　an　inelastic　response-spectrum　displacement　as　the　intensity　measure　of　a　near-fault　ground　motion　was　observed　when　evaluating　the　aseismic　performance　of　a　pier.　The　study　shows　that　the　inelastic　response-spectrum　displacement　is　a　more　applicable　intensity　measure　than　a　response-spectrum　acceleration　and　can　be　used　to　perform　the　probabilistic　demand　analysis　of　a　pier　structure.　The　results　has　important　academic　significance　and　realistic　value.