Previous　studies　on　the　inelastic　displacement　ratio　mainly　focused　on　the　structures　with　conventional　hysteretic　models.　For　the　self-centering　structure,　a　flag-shaped　(FS)　hysteretic　behavior　normally　can　be　obtained.　The　research　on　the　inelastic　displacement　ratio　of　this　type　of　structure　is　however　limited.　The　main　purpose　of　this　study　is　to　investigate　the　inelastic　displacement　ratio　of　the　self-centering　structure　with　FS　hysteretic　model　subjected　to　near-fault　pulse-type　ground　motions　for　the　seismic　design　of　structures.　The　inelastic　displacement　ratio　for　the　FS　model　(C-mu,C-FS)　is　calculated　based　on　the　nonlinear　dynamic　analysis　of　single　degree　of　freedom　(SDOF)　systems　subjected　to　100　near-fault　pulse-type　ground　motions.　For　comparison,　the　C-mu,C-FS　spectra　for　far-fault　ground　motions　are　also　calculated　and　discussed.　The　comparison　results　show　that　pulse-type　ground　motions　lead　to　much　larger　C-mu,C-FS　compared　to　far-fault　ground　motions,　particularly　for　the　acceleration-sensitive　spectral　region　of　near-fault　pulse-type　ground　motions.　Extensive　statistical　studies　are　further　carried　out　to　examine　the　influences　of　structural　and　pulse-type　ground　motion　characteristics　on　the　C-mu,C-FS　spectra.　Finally,　a　simplified　equation　is　developed　to　estimate　the　inelastic　displacement　ratio　for　the　design　of　self-centering　structures　under　pulse-type　ground　motions.