This paper shows elasto-plastic response characteristics and applicability of analytical methods of a hysteretic damper type base-isolated building of small-scale and light-weight under wind action. In the study, time history response analyses are carried out for three kinds of analytical model which are sway model, 1st modal model and multi-mass model. The results are discussed following steps / issues. (1) Understand and classification of the elasto-plastic behaviors by applying the sway model. (2) Applicability of the sway model by comparing the results based on the sway model with the multi-mass model. (3) Applicability of the suggested simple analysis method by comparing the results of the 1st modal model with the multi-mass model.