In this paper, a three-phase high-voltage converter (HVC), in which the main structure of each phase is composed of a cascaded PWM rectifier (CPR) and cascaded inverter (CI), is studied. A high-voltage grid is the input of the HVC. In order to ensure proper operation of the HVC, the control method should achieve output voltage sharing (OVS) among the rectifiers in the CPR, OVS among the inverters in the CI, and high power factor. Master-slave direct-current control (MDCC) is used to control the CPR. The ability of the control system to prevent interference is strong when using MDCC. The CI is controlled by three-loop control, which is composed of an outer common-output-voltage loop, inner current loops and voltage sharing loops. Simulation results show low total harmonic distortion (THD) in the HVC input currents and good OVS in both the CPR and CI.