This paper proposes control of a three-phase anti-resonance hybrid shunt-capacitor system for power factor correction. In general, shunt capacitors connected in series with reactors should be designed carefully before installation in order to avoid series and/or parallel harmonic resonance between the capacitors and line inductances. However, the system parameters are dynamically changed according to the power system configurations and loads. Consequently, harmonic resonance might occur after the capacitors have been installed. The main objective of the proposed hybrid capacitor system is to compensate for reactive power without any harmonic resonance. The hybrid system is a combination of three-phase shunt capacitors connected in series with a small-rating three-phase inverter without any matching transformer. The inverter is used to improve the characteristic of the capacitors. As a result, no harmonic resonance occurs under any system condition. In this paper, simulation results verify the viability and the effectiveness of the proposed three-phase anti-resonance hybrid shunt-capacitor system for reactive power compensation.