To　study　the　seismic　performance　of　a　long　span　airship　shed　with　high　supporting,　modal　analysis　was　carried　out　at　first,　then　the　mode-superposition　response　spectrum　analysis　and　elastic　time　history　analysis　were　carried　out　to　calculate　the　response　of　the　structure　under　frequent　earthquake.　To　calculate　the　response　under　rare　earthquake,　the　dynamic　elasto-plastic　time-history　analysis　was　done　considering　the　material　and　geometric　nonlinearity.　Because　the　structural　length　is　close　to　300m,　multi-support　excitation　analysis　were　carried　out　to　study　the　influence　of　the　traveling　wave　effect.　Through　the　analysis,　some　valuable　conclusions　were　obtained.　The　former　six　modal　shapes　were　all　horizontal　with　torsional　effect　at　the　same　time,　and　the　vertical　modal　shape　appeared　until　mode　7.　The　structural　biggest　displacement　and　the　basis　shear　force　under　frequent　earthquake　satisfied　the　code　requirement.　The　earthquake　response　of　the　roof　structure　under　horizontal　earthquake　is　higher　than　that　under　vertical　earthquake.　Under　the　rare　earthquake,　the　maximum　top　drift　angle　of　the　supporting　columns　is　much　less　than　the　limit　value　and　there　appear　only　a　few　plastic　hinges　in　the　whole　structure.　In　the　roof　structure,　most　plastic　hinges　appeared　on　the　web　members　close　to　the　mid-span.　In　the　supporting　columns,　most　plastic　hinges　appeared　on　the　column　tops　at　the　two　sides　of　the　door.　The　earthquake　response　of　the　roof　structure　and　the　columns　under　multi-support　excitations　are　higher　than　that　under　uniform　excitation.