The　plane　geometry　design　of　the　cable-net　structure　is　the　basis　for　the　form-finding　and　structural　design.　The　loop-free　single-layer　cable-net　structure　is　a　new　cable-net　scheme,　but　due　to　its　special　and　complex　shape,　it　is　difficult　to　determine　its　plane　geometry　according　to　architectural　requirements.　In　this　paper,　the　moving　support　node　method　is　proposed,　which　can　quickly　get　the　plane　geometry　of　a　loop-free　single-layer　cable-net　structure.　The　form-finding　is　proceeded　based　on　the　existing　small　elastic　modulus　method.　There　are　two　constraints　when　using　the　moving　support　node　method.　One　is　that　the　projection　of　all　cables　is　straight　line,　and　the　other　is　that　the　distance　between　the　two　cables　of　each　support　node　and　the　inner　boundary　of　the　target　is　equal.　The　aim　is　to　minimize　the　sum　of　the　distances　from　all　cables　to　the　inner　boundary　of　the　target.　Using　the　plane　geometry　control　parameters　and　the　plane　coordinates　of　the　support　nodes　as　decision　variables,　the　plane　geometry　closest　to　the　target　inner　and　outer　boundaries　is　get　through　optimization　analysis.　According　to　the　derivation　of　the　formula,　the　plane　projection　shape　of　a　loop-free　single-layer　cable-net　structure　is　mainly　related　to　three　parameters,　including　the　number　of　supports,　the　difference　between　the　node　numbers　of　the　supports　at　both　ends　of　each　cable,　and　the　target　curve　equations　of　the　inner　and　outer　boundaries.　Finally,　taking　the　roof　structure　of　Linyi　Olympic　Stadium　as　an　instance,　the　feasibility　of　the　plane　geometry　design　method　of　the　loop-free　single-layer　cable-net　structures　based　on　the　moving　support　node　method　is　verified.