In recent building standards, seismic damage of structures represents by local or global dis-placements and rotations. However, the effect of dissipated energy of members and the whole structure is not participated directly. Therefore, several damage indices are developed, containing the effect of drifts and dissipated energy including Park and Ang damage index. In this study, we found the most appropriate design of a one bay and one-story steel moment resisting frame using modified Park and Ang damage index (DI) as seismic damage representative, to satisfy the strong-column weak-beam (SC/WB) criteria and, reach maximum energy dissipation of the simple frame.