In　this　paper,　the　periodic　behavior　of　iced　cable　in　the　case　of　the　in-plane　fundamental　parametric　resonance-principal　resonance,　out-of-plane　principal　parametric　resonance-principal　resonance,　and　in　1:2　internal　resonances　is　investigated.　The　sufficient　condition　for　the　existence　of　the　periodic　solutions　about　the　system　is　obtained　through　using　Melnikov　function　and　Poincare　mapping,　then　the　stability　of　periodic　solution　is　investigated　by　using　blow-up　transformations　and　the　average　method.　Numerical　simulations　are　performed　to　verify　the　analytical　predictions　and　get　three　groups　of　diagrams.　©　(2013)　Trans　Tech　Publications,　Switzerland.