Speed control systems of the governor in power station used in this study is organized by the regulator (PID controller), actuator and turbine. Considering parameter uncertainties and disturbances in this system, the performance may not be achieved by the PID control. Therefore, a design technique is necessary that accomplish the desired system performance tolerance in despite of plant uncertainty iI1d disturbances. In this study, we used QFT(Quantitative Feedback Theory) to provide stable operation in power plant and presented the genetic algorithm for loop shaping approximation technique of QFT. And we designed speed control systems for the governor using the above approach.proach.