Recently, response evaluation of a high-rise seismic isolated building against the wind external force within elasto-plastic range has been requested. In the elasto-plastic response case, shifts of center displacement which are showing change in very long period like a step-function are caused. The response time history is separated to resonance component and quasi-static component and examined. From the time history analysis results, we could verify that the shift of the change center displacement is caused by the resonance component. This paper proposes a prediction method for quasi-static component response caused by the shifts of center displacement of a high-rise seismic isolated building under the fluctuation wind force. Its accuracy is demonstrated through comparison with time history analysis results.