In this research, we propose a simple method to estimate the cumulative plastic deformation, 𝜂, of a Multi-spring (MS) model equivalent to the 1st mode of a response control structure with hysteretic dampers. The logarithm of the ratio of 𝜂 of each elasto-plastic spring in the MS model is first modeled as a linear function of the yield displacement of the damper to the minimum yield displacement among the dampers. Then the slope of the linear relationship is modeled as a linear function of the logarithm of the ratio of the maximum yield displacement among the springs to the minimum one. Using these models, the 𝜂 of each spring can be simply estimated. The accuracy and applicability of the proposed method are investigated using numerical examples.