This　paper　examines　local　vibrations　in　the　stay　cables　of　a　cable-stayed　bridge　subjected　to　wind　gusts.　The　wind　loads,　including　the　self-excited　load　and　the　buffeting　load,　are　converted　into　time-domain　values　using　the　rational　function　approximation　and　the　multidimensional　autoregressive　process,　respectively.　The　global　motion　of　the　girder,　which　is　generated　by　the　wind　gusts,　is　analyzed　using　the　modal　analysis　method.　The　local　vibration　of　stay　cables　is　calculated　using　a　model　in　which　an　inclined　cable　is　subjected　to　time-varying　displacement　at　one　support　under　global　vibration.　This　model　can　consider　both　forced　vibration　and　parametric　vibration.　The　response　characteristics　of　the　local　vibrations　in　the　stay　cables　under　wind　gusts　are　described　using　an　existing　cable-stayed　bridge.　The　results　of　the　numerical　analysis　show　a　significant　difference　between　the　combined　parametric　and　forced　vibrations　and　the　forced　vibration.