This　paper　uses　the　finite　element　method　to　simultaneously　consider　the　coupled　cable-deck　vibrations　and　the　parametric　vibrations　of　stay　cables　in　dynamic　analysis　of　a　cable-stayed　bridge.　The　stay　cables　are　represented　by　some　cable　finite　elements,　which　can　consider　the　parametric　vibration　of　the　cables.　In　addition　to　modeling　stay　cables　using　multiple　link　cable　elements,　a　procedure　for　removing　the　self-weight　term　of　cable　element　is　proposed.　A　eigenvalue　analysis　process　using　dynamic　condensation　method　for　sorting　out　the　natural　modes　of　the　girder-tower　vibrations　and　the　Rayleigh　damping　considering　element　damping　for　damping　matrix　are　also　proposed　for　dynamic　analyses　of　cable-stayed　bridges.　The　possibilities　of　using　cable　elements　and　of　using　global　and　local　vibrations　to　evaluate　the　parametric　vibrations　of　stay　cables　in　a　cable-stayed　bridge　are　confirmed,　respectively.