Abstract: As an innovative vibration -control system, core -tube buildingswith suspension structures have been evoking theattention of researchers, in which the dampers are set between the core -tube and suspended frames to reduce the dynamicresponse of core -tube suspension structures under seismic loads. Random seismic response of a single core -tube suspensionstructure was then determined by a combination of the complex modal superpositionmethod and pseudo -excitation method inthe frequency domain.Then optimization of arrangement scheme and parameters for damper connection and springconnectionwasperformed to achieve the minimum core -tube topdisplacement and minimum storey drift of suspended frames.Results showed that properly using damper connections and spring connections between the core -tube and suspended framescould reduce random seismic responses significantly