This paper describes the optimization of a resistive superconducting fault current limiter (SFCL) applied to a multi-machine power system. Since the resistive SFCL is useful to provide a quick protection and reduce the fault current with its unique characteristics during a fault, it can be easily known that the transient stability of the entire system is improved effectively. However, when the SFCL is applied to a complex electric power system, especially a multi-machine power system, its direct optimization is difficult only considering fault conditions of the power system. Therefore, the resistive SFCL is optimized systematically by the eigenvalue analysis because it is effective to verify the transient stability and to evaluate the relationship between the parameters of a controller and the stability of the power system. Also, the dynamic effects of the SFCL on all generators of the multi-machine system can be considered synthetically with the eigenvalue analysis. Finally, the performance of the optimized SFCL is evaluated by time-domain simulation, and it is shown that that the optimized SFCL improves aggregately the damping performance of low-frequency oscillations in the entire multi-machine power system.