Many　studies　on　the　strength　reduction　factor　mainly　focused　on　structures　with　the　conventional　hysteretic　models.　However,　for　the　self-centering　structure　with　the　typical　flag-shaped　hysteretic　behavior,　the　corresponding　study　is　limited.　The　main　purpose　of　this　study　is　to　investigate　the　strength　reduction　factor　of　the　self-centering　structure　with　flag-shaped　hysteretic　behavior　subjected　to　near-fault　pulse-like　ground　motions　by　the　time　history　analysis.　For　this　purpose,　the　smooth　flag-shaped　model　based　on　Bouc-Wen　model　which　can　show　flag-shaped　hysteretic　behavior　is　first　described.　The　strength　reduction　factor　spectra　of　the　flag-shaped　model　are　then　calculated　under　85　near-fault　pulse-like　ground　motions.　The　influences　of　the　ductility　level,　vibration　period,　site　condition,　hysteretic　parameter,　and　hysteretic　model　are　investigated　statistically.　For　comparison,　the　strength　reduction　factors　under　ordinary　ground　motions　are　also　analyzed.　The　results　show　that　the　strength　reduction　factor　from　near-fault　pulse-like　ground　motions　is　smaller.　Finally,　a　predictive　model　is　proposed　to　estimate　the　strength　reduction　factor　for　the　self-centering　structure　with　the　flag-shaped　model　under　near-fault　pulse-like　ground　motions.