Suspension　cable　structure　is　one　of　the　most　important　structure.　In　this　article　the　hypernormal　form　of　icing　suspension　cable　model　with　practical　application　background　is　investigated　by　using　the　method　of　New　Grading　Function　and　multi-lie　bracket.　First　the　average　equations　of　icing　suspension　cable　model　is　given,　based　on　the　equations,　the　method　in　reference　[5]　and　maple　program　are　used　to　obtain　the　five　order　hypernormal　form　of　the　icing　suspension　cable　model.　©　(2013)　Trans　Tech　Publications,　Switzerland.