By　employing　two　or　more　types　of　braces,　hybrid　braced　frames　(HBFs)　combine　the　merits　of　the　adopted　braces　and　offsets　their　drawbacks.　However,　the　corresponding　seismic　design　method　is　still　under　develop-ment.　To　this　end,　this　paper　develops　a　performance-based　seismic　design　(PBSD)　method,　based　on　the　performance-based　plastic　design　(PBPD)　method.　In　current　work,　the　buckling-restrained　braces　(BRBs)　and　shape　memory　alloy　braces　(SMABs)　are　introduced,　because　they　are　known　for　high　energy-dissipating　capacity　and　excellent　self-centering　capability,　respectively.　The　participation　extent　of　BRBs　and　SMABs　is　controlled　by　the　stiffness　contribution　factor.　The　equations　governing　the　design　results　are　derived　and　the　step-by-step　procedure　is　detailed.　A　six-story　benchmark　frame　is　selected　to　demonstrate　the　design　method.　The　designed　HBF　is　subjected　to　a　suite　of　earthquake　ground　motions,　and　the　mean　demands　of　seismic　responses　are　compared　against　performance　targets.　It　indicates　that　the　HBF　designed　by　the　design　method　can　well　meet　the　design　targets.　A　parametric　analysis　is　conducted　to　reveal　the　effect　of　changing　the　stiffness　contribution　factor　on　the　seismic　demands　of　the　HBF.　This　study　validates　the　proposed　design　method　for　HBF,　and　it　may　also　shed　light　to　the　PBSD　method　of　the　structures　equipped　with　the　other　types　of　displacement　-dependent　damping　braces.