Cable　element　and　self-weight-removed　calculating　method　are　employed　into　the　finite　element　analysis　for　horizontal　and　vertical　vibration　of　cable,　including　parametric　vibration,　in　order　to　achieve　the　finite　element　method　(FEM)　for　dynamic　analysis　of　cable-supported　structure.　Using　this　FEM,　a　cable-beam　structure　with　frequency　ration　of　1:1:2　is　studied　on　its　nonlinear　vibration　under　harmonic　and　random　excitations,　whose　results　are　compared　to　the　available　ones　of　analytical　approach.　The　cable　presents　parametric　vibration　in　second　and　principal　unstable　region　for　horizontal　and　vertical　harmonic　loading,　respectively.　It　matches　the　result　from　analytical　approach,　which　merely　considers　three　dearees　of　freedom.　For　vertical　random　excitation,　two　approaches　reveal　that　structure　vibration　can　not　be　excited　until　the　loading　level　arrives　at　a　critical　value,　and　motion　displacement　increases　with　the　value　boost.　Meanwhile,　cable　vibrates　at　much　larger　horizontal　amplitude　than　that　of　beam　at　horizontal　or　vertical　direction.　However,　the　FEM　presents　more　accurate　results　because　of　involving　much　more　modals.