In this paper mathematical model of single inverted pendulum established based on Lagrange method. Stability of the inverted pendulum system is analyzed. Single inverted pendulum can be controlled by modem control theory, pole assignment method and Linear-quadratic regulator theory, effectually but only in small angle range. In order to obtain the larger controllable angle, the fuzzy method has been accepted to treat with this system. The idea behind of fuzzy control method in this paper is to divide the operating region of nonlinear system into small area, and treated as a collection of local linear systems which can be controlled. Global bounded property of the fuzzy method has been proven success, and according the simulation results of fuzzy servo system controllable angle is extended.