With　the　development　of　performance-based　seismic　design,　the　residual　displacements　of　structures　have　become　a　key　factor　in　determining　the　post-earthquake　functionality　and　post-earthquake　repair　cost.　However,　the　factors　affecting　the　residual　displacement　responses　of　the　RC　structure　and　the　corresponding　influence　laws　have　not　been　uniformly　understood.　This　paper　systematically　investigates　the　influence　of　structural　properties　and　ground　motion　characteristics　on　the　residual　displacements　of　the　RC　bridge　columns,　especially　the　near-fault　pulsed　ground　motion　characteristics.　To　this　end,　the　ultimate　quasi-static　residual　displacement　and　the　dynamic　residual　displacement　are　first　defined　and　introduced.　Then,　Bouc-Wen　models　and　the　finite　element　models　of　RC　columns　are　selected　as　target　models,　and　quasi-static　analyses　and　dynamic　time　history　analyses　of　the　two　models　are　performed　to　obtain　the　residual　displacement　responses.　The　results　show　that　the　structural　properties　and　ground　motion　characteristics　significantly　affect　the　residual　displacement　responses　of　the　RC　bridge　columns.　The　influence　laws　of　structural　properties　on　residual　displacement　responses　of　different　models　obtained　by　using　different　analysis　methods　are　inconsistent,　and　it　is　also　differences　in　the　influence　laws　when　using　different　residual　displacement　indexes.　Furthermore,　the　residual　displacement　responses　of　the　RC　columns　subjected　to　near-fault　pulsed　ground　motions　are　larger　compared　with　ground　motions　without　pulses,　and　they　increase　with　the　increasing　of　the　pulse　period.　The　symmetrical　pulsed　ground　motions　result　in　higher　residual　displacement　demands　compared　with　antisymmetric　pulsed　ground　motions.