Owing　to　superelastic　behavior,　shape　memory　alloy　(SMA)　has　been　widely　utilized　to　develop　self-centering　damping　devices.　Recently,　the　authors　developed　a　novel　SMA　damper,　i.e.　the　SMA　slip　friction　(SMASF)　damper.　The　cyclic　behavior　of　the　SMASF　damper　not　only　depends　on　the　hysteresis　shape　factors　of　SMA　bars,　but　also　on　the　coefficient　of　kinetic　friction　and　the　slope　of　the　friction　plates.　Hence,　the　basic　working　mechanism　of　the　SMASF　damper　is　different　from　that　of　conventional　SMA　dampers.　In　the　early　work,　the　features　of　the　SMASF　damper　have　been　revealed　by　static　cyclic　loading　tests.　However,　the　seismic　displacement　responses　of　this　novel　damper　remain　unknown.　To　this　end,　this　paper　initiates　with　a　brief　introduction　of　the　damper,　including　the　configuration,　working　mechanism,　and　testing　results.　And　then,　extensive　seismic　analyses　based　on　single-degree-of-freedom　systems　were　conducted.　Based　on　the　constant-strength　ductility　demand　spectra,　the　displacement　responses　of　the　SMASF　damper　were　understood　through　the　comparisons　with　conventional　SMA　damper　and　friction　damper.　A　wide　range　of　fundamental　periods,　strength　capacities　and　seismic　intensity　levels　were　considered.　Further,　parametric　analysis　was　conducted　to　assess　the　effect　of　the　hysteresis　shape　factors　of　SMA　bars　and　the　coefficient　of　kinetic　friction　and　the　slope　of　the　friction　plates.　This　study　also　sheds　light　on　the　force-based　seismic　design　method　for　this　damper.