In power systems, Resistor type Superconducting Fault Current Limiters (RSFCL) can limit the prospective short-circuit currents to lower levels, so that the underrated switchgears can operate safely. Besides, RSFCLs can enhance the power system transient stability if they are accompanied by appropriate shunt resistances. This paper presents a method of optimum shunt resistance determination for transient stability improvement. The method is based on minimization of rotor kinetic energy oscillations. Meanwhile to make it more comprehensible, the method is utilized to determine the shunt resistances of three RSFCLs installed in a 9-bus 3-generator sample network. All of the simulations have been carried out by EMTP/ATP.