In　seismic　prone　regions,　many　old　bridges　deserve　retrofitting　measures　to　improve　their　seismic　resilience.　The　recently　proposed　buckling-restrained　shape　memory　alloy　(SMA)　dampers,　which　can　maintain　axial　resistance　under　low　temperatures,　are　potential　candidates　for　outdoor　applications.　However,　the　corresponding　design　method　and　retrofitting　efficacy　remain　unknown.　Besides,　the　effects　arising　from　temperature　variations　and　device　uncertainty　have　not　been　addressed.　To　this　end,　this　work　proposes　a　performance-based　retrofitting　method　and　conducts　a　probabilistic　evaluation　for　bridges　retrofitted　with　buckling-restrained　SMA　dampers.　The　temperature-specific　behavior　of　the　damper　is　first　described,　and　then　a　triple-column　bent　bridge　located　in　Salt　Lake　City　is　selected　for　demonstration　purposes.　To　unveil　the　seismic　retrofitting　efficacy,　nonlinear　time　history　analysis　and　fragility　analysis　are　performed.　The　considered　uncertainties　include　temperature　variation,　device　uncertainty,　and　seismic　intensity.　The　results　indicate　that　the　bridges　retrofitted　by　the　designed　damper　could　achieve　prescribed　performance　targets.　In　addition,　with　the　variations　of　temperature　and　device,　the　seismic　response　demands　are　relatively　stable.　The　damage　probabilities　and　seismic　risk　are　reduced　by　the　installed　dampers.　Hence,　the　buckling-restrained　SMA　dampers　have　a　reliable　seismic　control　efficacy　for　bridges.