In　order　to　analyze　the　nonlinear　vibration　including　parametric　vibration　of　a　cable-beam　structure　accurately,　a　cable　element　and　a　procedure　for　removing　the　self-weight　term　are　proposed　for　the　parametric　vibration　finite　element　analysis　of　cables.　The　extended　Rayleigh　damping　considering　element　damping　for　the　damping　matrix　is　also　proposed　for　considering　the　damping　of　the　beam　and　the　relatively　small　damping　of　the　cable.　Those　methods　are　implemented　in　the　self-coded　program　NL_Beam3D,　to　consider　the　interaction　between　a　stay　cable　and　a　beam.　Through　the　case　of　a　cable-beam　structure　experiment　by　Fujino　in　1993,　the　parametric　vibration　in　the　secondary　or　principal　unstable　regions　can　be　modeled　exactly　using　the　proposed　methods.