A predictive power control method based on predictive models (PPC) is used in static synchronous compensator (STATCOM) to solve the larger power ripple and inconstant switching frequency in traditional direct power control (DPC). First of all, this paper analyzes the basic structure of STATCOM. Considering the actual discreteness of digital processing system, the power predictive function of STATCOM is derived, and a duty ratio calculating function is constructed to minimize the power tracking error at k+1 sampling time, in order to achieve stable operation of the system, SVPWM technology modulate waveform is used to control VSI. Finally, the simulation model of STATCOM is carried out based on Matlab, the results of simulation show that the proposed PPC method can suppress the power ripple effectively and get a constant switching frequency, as well as keep a high dynamic response performance of traditional DPC.