In order to evaluate the limit earthquake resistance of multi-story steel frames influenced by the strength and stiffness ratios of members and the rigidity of column bases, a series inelastic response analysis were carried out. From the analysis results, the damage distribution rules of multi-story steel frames were proposed. Conclusions are summarized as follows;l)As the stiffness ratio of beam and column becomes small, damage concentrate on the lower end of columns of the first story. 2)Damage of the lower end of columns decreases with the decrease of the rigidity of the column bases.