Here,　to　improve　economy　of　traditional　frame-eore　tube　(FCT)　structure,　a　new　frame-distributed　core　tube-core　tube　(FDCT)　high-rise　structure　system　was　proposed　to　reduce　the　enclosed　area　of　traditional　tube　body.　Furthermore,　a　new　frame-distributed　rocking　core　tube-core　tube　(FDRCT)　high-rise　structure　system　was　proposed　to　improve　the　aseisrnic　capacity　of　FDCT　due　to　stiffness-weakening.　According　to　simplified　analysis　models　of　FCT　structure,　FDCT　structure　and　FDRCT　structure,　dynamic　equations　of　the　3　structures　were　established　based　on　Lagrange　equation.　Through　analyzing　time　history　responses　of　the　3　structures　under　earthquake　and　relevant　parametric　analyses　for　mass　of　distributed　rocking　core　tube,　it　was　shown　tliat　FDRCT　structure　with　additional　nuking　system　has　excellent　energy　dissipation　and　shock　al　(sorption　performance.　Dynamic　time　history　analyses　of　the　3　structures　under　different　site　conditions　and　different　types　long-period　seismic　waves　were　performed,　respectively.　The　results　showed　thai　FDRCT　structure　has　energy　dissipation　and　shock　absorption　effects　under　action　of　different　types　seismic　waves,　and　it　is　more　superior　under　long-period　seismic　waves;　performance-profit　total　values　of　the　3　structures　are　evaluated,　data　reveal　FDRCT　structure　can　not　only　improve　the　economy　of　structure　under　action　of　different　types　seismic　waves,　but　also　guarantee　the　safety　of　structure　under　earthquake.　In　order　to　improve　the　economy　of　traditional　frame　core　lube　(FCT)　structural　system,　a　new　high-rise　structural　system　of　frame-distributed　tube-core　tube　(FDCT)　is　proposed　to　reduce　the　enclosed　area　of　traditional　tube.　Furthermore,　the　frame-distributed　rocking　tube-core　tube　(FDRCT)　high-rise　structural　system　is　proposed　to　improve　the　reduced　seismic　capacity　of　FDCT　due　to　the　weakened　stiffness.　According　to　the　simplified　mechanical　models　of　FCT,　FDCT　and　FDRCT,　the　three　structural　dynamic　equations　are　established　based　on　Lagrange　Equation.　By　analyzing　the　time　history　response　of　the　structure　subjected　to　earthquake　and　the　effect　of　mass　parameter　of　distributed　rocking　tube,　it　is　proved　that　the　FDRCT　structure　with　rocking　system　has　excellent　energy　dissipation　and　damping　performance.　The　dynamic　time　history　analysis　of　the　three　structures　under　different　site　conditions　and　different　types　of　long-period　earthquake　waves　is　carried　out,　and　the　results　show　that　the　FDRCT　structure　could　has　energy　dissipation　and　damping　effect　under　different　types　of　earthquake　waves,　and　it　is　superior　under　long-period　seismic　waves.　By　evaluating　the　performance-profit　value　of　the　three　structures,　it　show　that　the　FDRCT　structure　can　improve　the　structural　economy　and　ensure　the　safety　performance　under　different　types　of　earthquake　waves.　©　2023　Chinese　Vibration　Engineering　Society.　All　rights　reserved.