Featured　Application　The　proposed　bracing　system　provides　a　novel　solution　for　controlling　peak　seismic　responses　and　for　eliminating　residual　deformation　for　conventional　concentrically　braced　frames.　Multi-story　steel　frames　are　popular　building　structures.　For　those　with　insufficient　seismic　resistance,　their　seismic　capacity　can　be　improved　by　installing　buckling-restrained　braces　(BRBs),　which　is　known　for　high　energy　dissipation　capacity,　and　the　corresponding　frame　is　denoted　as　BRB　frame　(BRBF).　However,　BRBFs　are　frequently　criticized　because　of　excessive　residual　deformations　after　earthquakes,　which　impede　the　post-event　repairing　work　and　immediate　occupancy.　Meanwhile,　self-centering　braces　(SCBs),　which　were　invented　with　a　particular　purpose　of　eliminating　residual　deformation　for　the　protected　structures,　underwent　fast　development　in　recent　years.　However,　the　damping　capability　of　SCBs　is　relatively　small　because　their　hysteresis　is　characterized　by　a　flag　shape.　Therefore,　this　paper　aims　to　combine　these　two　different　braces　to　form　a　hybrid　bracing　system.　A　total　of　four　combinations　are　proposed　to　seek　an　optimal　solution.　The　multi-story　steel　frames　installed　with　BRBs,　SCBs,　and　combined　braces　are　numerically　investigated　through　nonlinear　static　and　dynamic　analyses.　Interested　seismic　response　parameters　refer　to　the　maximum　story　drift　ratios,　maximum　floor　accelerations,　and　residual　story　drift　ratios.　The　seismic　analysis　results　indicate　that　the　frames　using　the　combined　bracing　system　are　able　to　take　the　advantages　of　BRBs　and　SCBs.