The buckling-restrained steel braced frames with eccentric configurations (BRBFEs) have high energy dissipation capacities and an architectural advantage to create openings. However, recent investigations have shown that after the earthquake at the MCE hazard level, the residual drift in buildings with buckling-restrained steel braced frames (BRBF) is remarkable. In the present study, to reduce the residual drift in a BRBFE system, it has been suggested to add a post-tensioned frame (PTF) in parallel and create a BRBFE-PTF combined system. Moreover, a method has been proposed to design this combined system. In this method, the values of the two parameters of the self-centering ratio and cable cross-section area are selected arbitrarily. Then, after verifying the modeling, the pushover, cyclic, and time-history analyses of the prepared numerical models were performed. The results showed that if appropriate values were selected for the self-centering ratio and cable cross-section area, the proposed system had the desirable seismic performance in maximum drift demand and residual drift.