An energy balance-based design method for earthquake-induced response of a building has been proposed by Dr. Akiyama; it is very useful for the evaluation of the cumulative damage. However, an energy balance-based design method for the wind-induced response of buildings has not been established yet. In this study, we establish a prediction method based on energy balance for estimating the cumulative damage to hysteretic dampers installed in a high-rise building on wind-induced response. We propose a new optimum yield shear force coefficient distribution and damage concentration factor for prediction of damage caused by wind-induced response. The validity of this prediction method is confirmed by comparing the results with time history analysis results.