To　study　the　effect　on　the　static　performance　of　single-layer　latticed　shells　under　earthquake　damage,　based　on　the　material　constructive　relationship　considering　damage　cumulative　effect,　the　dynamic　stable　analysis　is　first　carried　out　for　a　K8　type　and　single-layer　latticed　shell　through　the　incremental　dynamic　analysis　(IDA)　method,　in　which　B-R　kinetic　criterion　in　combination　with　plastic　strain　energy　density　is　put　forward　as　the　criterion　for　judging　dynamic　instability　of　single-layer　latticed　shells,　from　which　the　dynamic　critical　load　value　can　be　derived.　Then,　nonlinear　buckling　analysis　by　the　arc-length　method　combined　with　Newton-Raphson　method　is　done　to　the　damaged　structure　due　to　earthquake,　from　which　the　static　critical　load　value　can　be　derived.　Results　show　that　the　reduction　to　the　structural　static　stable　ability　will　be　obvious　after　considering　damage　accumulation　effect　for　single-layer　latticed　shells,　which　can　be　a　reference　for　the　structural　seismic　design,　performance　assessment,　and　engineering　repair　or　reinforcement　after　earthquake.　©,　2015,　Beijing　University　of　Technology.　All　right　reserved.