Many　studies　on　the　inelastic　response　spectra　have　mainly　focused　on　structures　with　the　conventional　hysteretic　behavior.　However,　for　self-centering　structures　with　the　flag-shaped　(FS)　hysteretic　behavior,　the　corresponding　study　is　limited.　The　primary　aim　of　this　study　is　to　investigate　the　inelastic　response　spectra　of　self-centering　structures　with　FS　hysteretic　behavior　subjected　to　the　near-fault　pulse-type　ground　motion.　To　this　end,　the　smooth　FS　hysteretic　model　based　on　Bouc-Wen　model　is　developed,　and　the　characteristics　of　pulse-type　ground　motions　are　described　in　detail.　It　is　found　that　the　general　features　of　inelastic　response　spectra　of　the　FS　model　are　sensitive　to　the　acceleration-,　velocity-,　and　displacement-sensitive　spectral　regions　of　the　ground　motion.　The　inelastic　displacement,　velocity,　acceleration,　and　ductility　factor　spectra　of　the　FS　hysteretic　model　for　pulse-type　ground　motions　are　much　larger　than　those　for　ordinary　ground　motions,　while　the　residual　displacement　spectra　under　the　two　types　of　ground　motions　are　both　very　small　due　to　its　self-centering　capacity.　Moreover,　the　inelastic　response　spectra　are　affected　by　the　ground　motion　characteristics　and　structural　hysteresis　behavior,　especially　the　large　pulse　period　and　peak　ground　velocity　(PGV)　significantly　increase　the　inelastic　displacement,　velocity,　and　acceleration　spectra.