Radio telescope system is widely used in investigating astronomical objects which requires a good pointing system. The fact that it receives a remarkably weak signal from space, new development such as increase in parabolic dish size and operating frequency has been made. However, these development has caused position control more stringent. This paper employ PID controller and introduces fuzzy logic controller for this purpose. Different type of membership function is tested in order to choose the best output result. Then the performance of the best type is compared with PID controller. Both controllers are designed in Simulink MATLAB environment. The proposed fuzzy controller able to attenuate overshoot while PID has 44% and 6.65% overshoot in both speed and position loop. Hence, fuzzy logic controller has greater performance than PID controller.