Cable-supported　lattice　shell　is　a　new　kind　of　economic　and　larger　spanning　hybrid　spatial　structure　system,　which　is　consisted　of　single-layer　spherical　lattice　shells　and　tensegrity　systems　with　rid　of　cables　located　at　the　upper　layer.　The　finite　element　model　of　the　hybrid　spatial　structure　system　is　built　by　the　beam　elements,　truss　elements　and　cable　elements,　its　dynamics　characteristics　and　the　influence　of　some　parameters　are　analyzed　thoroughly　here　by　the　block　Lanczos　method,　and　then　the　computed　results　are　compered　with　single-layer　reticulated　shell.　The　results　are　valuable　for　the　dynamic　response　research　on　the　earthquakes　and　wind　vibration　and　the　engineering　design　of　the　cable-supported　lattice　shells.