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The static synchronous series compensator (SSSC) is a new series compensator equipment of the FACTS family. Compared to the Thyristor Controlled Series Compensation (TCSC) which is in common use, the SSSC has wider control range and faster response speed. The study and comparison on their transient control behavior has much to do with the stability of the power system and the setting of relay protection components. Based on the principle of SSSC and TCSC, the dynamic equation of Single Machine Infinite Bus System (SMIB) has been considered. The SMIB system considered SSSC and TCSC is built by using the simpowersystem toolbox of MATLAB, and the transient characteristic is simulated. The simulation result demonstrates that the capacity SSSC needs was less than TCSC and the phase-angle difference was smaller than TCSC when reaches the same compensation capacity. The effects on damping low-frequency oscillation and the response speed of SSSC were superior to TCSC.