To　mitigate　the　adverse　structural　responses,　an　improved　version　of　the　traditional　tuned　vibration　absorber　has　been　proposed　based　on　the　shape　memory　alloy　spring,　referred　as　the　shape　memory　alloy-spring　tuned　vibration　absorber.　The　finite　element　numerical　models　of　the　multi-degree-of-freedom　structure　(e.g.,　transmission　tower)　and　shape　memory　alloy-spring　tuned　vibration　absorber　are　developed　by　using　the　commercial　software　ANSYS,　and　the　nonlinear　behavior　of　the　shape　memory　alloy　spring　is　validated　based　on　a　previous　experimental　study.　The　damping　mechanism　of　the　shape　memory　alloy-spring　tuned　vibration　absorber　attached　to　a　multi-degree-of-freedom　structure　under　seismic　excitations　is　investigated,　and　the　nonlinear　hysteretic　behavior　of　the　shape　memory　alloy　spring　is　also　discussed.　The　results　show　that　the　proposed　damper　has　a　two-stage　damping　mechanism,　and　its　control　performance　is　remarkable.　Because　the　coupled　system　response　is　sensitive　to　the　amplitude　level,　the　optimal　configuration　of　the　shape　memory　alloy-spring　tuned　vibration　absorber　can　be　obtained　by　parametric　analysis.　Particularly,　because　of　the　nonlinear　target　energy　transfer　and　transient　resonance　capture　mechanism,　the　shape　memory　alloy-spring　tuned　vibration　absorber　exhibits　stable　control　ability　under　different　seismic　waves,　indicating　a　good　stability　in　vibration　control　of　a　multi-degree-of-freedom　system.