The precise linearization method based on the theory of differential geometry is used in TCSC stabilized controller's design. It is mainly considered that TCSC stabilized controller is designed with linear quadratic optimal control theory after the one machine - infinity bus system with TCSC is precisely linearized, compared with traditional PID controller in MATLAB/Simulink simulation. The results of computer simulation indicate that TCSC nonlinear controller based on differential geometry can not only improve the static stability of system, but also effectively damp power oscillation and enhance the transient stability of system when the power system suffers small disturbance and short circuit. In addition, it also illuminates that nonlinear control is more effective than traditional PID control, and possess certain robustness and self- adaptability.