This　paper　focuses　on　the　performance-based　seismic　design　(PBSD)　methodology　of　multi-story　concentrically　braced　frames　(CBFs)　equipped　with　a　novel　brace,　i.e.,　the　shape　memory　alloy　(SMA)-friction　damping　brace　(SMAFDB).　The　fundamental　response　characteristics　of　the　framing　structure　are　first　understood　through　nonlinear　response　history　analysis　on　the　equivalent　single-degree-of-freedom　(SDOF)　systems.　The　parameters　varied　in　the　SDOF　analyses　are　the　period　of　vibration　(T),　the　strength　reduction　factor　(R),　and　the　normalized　friction　slip　displacement　(mu(f)).　The　seismic　response　indexes　of　interest　are　the　peak　displacement,　the　ductility,　the　residual　displacement　and　the　peak　acceleration.　Relationships　are　built　between　the　seismic　response　indexes　and　parameters　of　T,　R　and　mu(f).　Then,　the　SDOF-based　results　are　explored　to　develop　the　PBSD　methodology,　which　defines　the　peak　interstory　drift,　the　peak　floor　acceleration　and　the　residual　interstory　drift　as　the　performance　targets.　To　demonstrate　and　validate　the　proposed　design　methodology,　the　six-story　prototype　CBFs　equipped　with　SMAFDBs　are　designed　and　then　subjected　to　ground　motions　associated　with　hazard　levels　of　design　basis　earthquakes　(DBE)　and　maximum　considered　earthquakes　(MCE).　The　performance　evaluation　results　indicate　that　the　frames　can　be　effectively　designed　to　meet　the　targeted　performance　objectives　at　the　DBE　level.　It　also　indicates　that　the　frames　maintain　seismic-resisting　capacity　at　the　MCE　level.