Conventional　suspended　mass　pendulum　damper　(SMPD)　include　suspended　single　mass　pendulum　damper　(SSMPD),　tandem　suspended　multiple　mass　pendulums　damper　without　springs　(TSMP),　and　parallel　suspended　multiple　mass　pendulums　damper　without　springs　(PSMP),　these　types　of　SMPD　have　the　advantages　such　as　clear　mechanism,　simple　construction,　and　good　damping　effect,　but　they　have　a　narrow　tuning　frequency　band　and　the　pendulum　length　needs　to　be　set　too　long　for　low-frequency　super　tall　structures　and　too　short　for　high-frequency　tall　structures,　limiting　their　application　in　practical　engineering.　Because　of　this,　the　paper　proposes　connecting　the　spring　to　the　mass　pendulum,　forming　a　tandem　suspended　multiple　mass　pendulums　damper　with　spring　(TSMP-S)　and　a　parallel　suspended　multiple　mass　pendulums　damper　with　spring　(PSMP-S),　and　establishing　structural　system　dynamics　equations　and　performing　the　dynamic　characterization　of　the　TSMP-S　and　PSMP-S,　obtain　their　frequency　resolved　solutions　to　explain　the　damping　mechanism.　In　order　to　study　the　vibration-damping　performance　of　these　two　types　of　SMPD,　through　numerical　simulations　to　compare　the　damping　effect　of　the　conventional　SMPD,　TSMP-S,　and　PSMP-S　on　the　controlled　structures,　and　a　series　of　shaking　table　tests　on　controlled　and　uncontrolled　structures　to　verify　the　effectiveness　of　SSMPD,　TSMP,　PSMP,　TSMP-S　and　PSMP-S　for　damping　control　of　controlled　structures　under　conventional　earthquake　and　earthquake　at　four　types　of　sites.　Numerical　simulations　and　shaking　table　test　results　in　both　show　that　the　TSMP-S　has　the　best　damping　effect,　with　the　advantages　of　increasing　the　tuning　frequency　band,　achieving　multi-order　vibration　control,　and　flexible　adjustment　of　the　pendulum　length,　which　is　suitable　for　actual　engineering.　©　2023　Institution　of　Structural　Engineers