A simple and straight retrofitting design method was put forward based on roof displacement of building structure for passive energy dissipation. By Pushover analysis, a multi- degree of freedom system was transformed into an equivalent single-degree-of-freedom system. According to the dependence relationship between damping ratio of passive dampers and stiffness, an iteration method was presented. Then supplemental effective damping ratio and effective stiffness required to meet the performance criterion of the equivalent single-degree-of-freedom system could be solved conveniently by standar...