Shape　memory　alloys　(SMAs)　are　widely　utilized　as　the　core　component　to　develop　self-centering　(SC)　structures　owing　to　their　excellent　super-elasticity.　Seismic　performance　of　SMA-based　structures　is　significantly　influenced　by　the　hysteretic　parameters　of　the　exploited　SMAs.　Uncertainties　in　the　hysteretic　parameters　of　SMAs　could　cause　variation　in　seismic　performance　however　have　not　received　sufficient　attentions.　This　paper　proposes　a　sensitivity　analysis　framework　to　realistically　and　efficiently　quantify　the　sensitivity　of　SMA-based　structures　to　hysteretic　model　parameters.　The　experimental　data　from　SMA　bars　are　analyzed　through　the　Markov　chain　Monte　Carlo　(MCMC)　procedure.　The　probabilistic　distributions　of　SMA　hysteretic　parameters　are　then　sampled　using　the　linear　moment　theory.　Polynomial　chaos　expansions　(PCE)　based　surrogate　model　is　then　used　to　evaluate　sensitivity　of　response　to　different　parametric　uncertainties　through　the　Sobol　indices.　The　proposed　framework　is　then　applied　to　a　total　of　120　single-degree-of-freedom　(SDOF)　systems　to　demonstrate　its　efficacy　to　generalize　observations　and　findings.　The　results　show　that　the　proposed　framework　provided　more　effective　and　realistic　sensitivity　analysis　of　seismic　responses　of　SMA-based　SDOF　systems　to　account　for　uncertainty　in　the　hysteretic　model　parameters.　The　Sobol　indices　also　indicate　that　the　sensitivity　of　different　seismic　response　quantities　varies　for　different　hysteretic　model　parameters　of　SMAs.