Suspended　dome　is　a　reasonable　and　novel　type　of　long-span　hybrid　spatial　structures　based　upon　single-layer　spherical　lattice　shell　and　tensegrity　system.　Based　upon　the　structural　force-bearing　characteristics,　the　combined　finite　element　model　of　beam　elements,　truss　elements　and　cable　elements　is　set　up.　A　method　taking　the　maximum　displacement　on　nodes　under　earthquake　acceleration　of　each　level　as　dynamic　response　representative　parameter　is　proposed　to　study　the　dynamic　stable　ultimate　capacity　of　suspended　dome　by　application　of　the　incremental　dynamic　analysis　in　combination　with　B-R　kinetic　criterion.　Furthermore,　considering　suspended　dome　has　the　clear　advantage　over　Single-Layer　Spherical　Lattice　Shell　for　a　structure　with　a　long　span　and　a　small　ratio　of　rise　to　span,　the　influences　of　factors　such　as　structural　parameters,　geometric　parameters,　and　different　earthquake　input　are　investigated　on　dynamic　stability　for　a　kiewitt-type　suspended　dome　with　a　long　span　and　a　small　ratio　of　rise　to　span.　Finally　of　suspended　dome　some　conclusions　are　obtained　such　as　the　initial　defects　can　clearly　reduce　dynamic　stable　ultimate　capacity,　and　since　the　rise-span　ratio,　pre-stressing　level　and　cross　section　area　are　not　monotonous　as　variety　to　the　structural　dynamic　stability,　they　should　be　optimized　to　enhance　or　improve　the　structural　dynamic　stability,　which　can　be　rules　for　engineering　design.