In recent years, examples of adopting passive controlled building are increasing. In particular, when long-period seismic ground motion is applied to passive controlled building having a hysteresis damper, in addition to the maximum response value, evaluation by cumulative value is also required. As a very effective method for evaluating the cumulative value, there is a energy based method which evaluates with the total amount of energy input by seismic motion. However, when this method is applied to the passive controlled building, only studies taking into consideration the plasticization of the main frame are performed only in the first layer. In this paper, focusing on the maximum deformation, we propose a prediction method of the maximum deformation in all layers considering plasticization of the main frame.