Seismic　response　and　failure　mechanism　of　single-layer　latticed　domes　with　steel　columns　and　braces　as　substructures　are　studied　using　incremental　dynamic　analysis　in　the　paper.　The　member　models　considering　cyclic　buckling　and　low　cycle　fatigue　of　steel　are　used　in　the　analyses.　The　results　show　that　the　seismic　responses　will　be　greatly　influenced　by　the　material　low　cycle　fatigue　under　strong　earthquakes　in　different　ways　for　the　domes　with　different　parameters.　Two　typical　failure　modes　are　found　for　the　structures:　one　is　the　failure　of　domes　and　the　other　is　the　failure　of　both　the　dome　and　the　substructure.　Influence　of　rise-span　ratio　of　domes,　brace　sections　and　column　sections　in　substructures　on　the　ultimate　PGA　and　yielding　PGA　are　studied,　and　the　optimized　values　of　the　parameters　are　suggested　for　structural　designing.