Shape　memory　alloys　have　attracted　a　great　deal　of　attention　in　civil　engineering　due　to　their　excellent　super　elastic　and　moderate　energy　dissipating　capabilities.　At　present,　the　shape　memory　alloy　cables　have　been　developed　to　meet　the　large　size　demand　for　practical　applications.　This　article　carries　out　numerical　studies　on　the　seismic　responses　of　the　steel　frame　with　self-centering　energy　dissipation　braced　on　shape　memory　alloy　cables　(SMA-SCEB)　using　OpenSees.　The　mechanical　properties　of　the　shape　memory　alloy　cables　were　experimentally　investigated　first　and　compared　to　the　traditional　shape　memory　alloy　wires/bars.　Experimental　results　show　the　excellent　super-elastic　property　of　the　shape　memory　alloy　cables.　A　SMA-SCEB　device　is　then　proposed,　and　quasi-static　cyclic　loading　tests　are　performed　to　evaluate　its　hysteretic　behavior.　The　SMA-SCEB　device　is　installed　in　the　steel　frame　structure　to　enhance　its　seismic　performances.　Nonlinear　dynamic　analyses　are　carried　out　to　examine　its　seismic　responses.　For　comparison,　the　performance　of　self-centering　energy　dissipation　brace　with　pre-tensioned　basalt　fiber-reinforced　polymer　cables　(BFRP-SCEB)　is　also　studied.　Numerical　results　demonstrate　that　the　self-centering　energy　dissipation　brace　can　significantly　reduce　the　residual　drift　ratio　of　the　structure.　In　particular,　the　steel　frame　structure　equipped　with　SMA-SCEBs　suffers　smaller　peak　acceleration　than　the　one　with　the　BFRP-SCEBs.