In　order　to　reduce　the　tube　area　proportion　of　the　traditional　frame-core　tube（FCT）structure　system　and　improve　the　structural　economy，a　high-rise　structural　system　of　the　frame-distributed　tubes-core　tube（FDCT）is　designed.　The　distributed　tubes　and　rocking　system　are　combined　to　form　the　frame-distributed　rocking　tubes-core　tube（FDRCT）structural　system，which　can　control　the　deformation　mode　of　the　structure.　To　reduce　the　adverse　effects　of　higher　modes　on　high-rise　structures，the　frame-distributed　bi-rocking　tubes-core　tube（FDBRCT）structural　system　with　tuned　damping　performance　is　further　proposed.　The　dynamic　models　and　equations　of　the　structure　are　established，and　the　stationary　random　vibration　analysis　is　carried　out，which　preliminarily　proves　that　the　FDBRCT　structure　can　reduce　the　dynamic　response　of　the　structure　more　effectively.　By　comparing　and　analyzing　the　structural　time-history　analysis　results　of　the　FCT，FDCT，FDRCT　and　FDBRCT，the　seismic　capacity　of　the　FDCT　structure　decreases　is　due　to　the　stiffness　weakening.　The　FDRCT　structure　improves　the　uniform　degree　of　structural　deformation，and　the　upper　floors　acceleration　decreases，but　the　roof　displacement　increases.　Compared　with　the　FDRCT　structure，the　maximum　of　inter-story　drift　ratio　of　the　FDBRCT　structure　increases　significantly　and　the　structural　deformation　is　more　uniform.　Besides，the　roof　displacement　response　and　internal　force　demand　decrease　appropriately.　The　distributed　bi-rocking　tubes　with　tuned　damping　brings　on　better　seismic　capacity　and　damping　performance　of　the　FDBRCT　structure，which　can　improve　the　economy　at　the　same　time.　©　2024　Nanjing　University　of　Aeronautics　an　Astronautics.　All　rights　reserved.