Structural control devices are widely implemented in order to reduce the seismic response of buildings. These devices are typically categorized as hysteretic dampers and viscous dampers. Generally, a structure employs only one of these two dampers; however, in recent years, a case has been made for using both dampers simultaneously in order to improve seismic performance. For the quantitative evaluation of seismic performance, a prediction method based on energy balance has been proposed in the past studies. However, the existing method cannot be adapted to response control structures composed of two types of dampers. This study proposes a solution to this problem by establishing the theory relating to vertical distribution. Furthermore, a wide range of ground motion characteristics are investigated by using f-value for an energy evaluation of ground motion. The proposed prediction method is validated by comparing its results with those of time-history analyses. In addition, the effectiveness and applicability of using both dampers are verified using the proposed method.