The invention provides a six-switch-block MMC mixed converter and a control method of the six-switch-block MMC mixed converter. The converter comprises an alternating-current input power source, an alternating-current input inductor, a first direct-current power source, a first direct-current input inductor, a second direct-current power source, a second direct-current input inductor, a first bridge arm, a second bridge arm and a load. The first bridge arm and the second bridge arm are respectively formed by connecting an upper switch block, a middle switch block, a lower switch block, a first bridge arm inductor and a second bridge arm inductor in series. Each switch block is formed by connecting N power switch units in series, wherein N is a positive integer. The converter is controlled by the carrier phase-shifting PWM, the alternating-current input power source is converted into the alternating-current input of the 2N+1 levels, the direct-current input power source is converted into multiple levels which are converted into direct-currents through the converter, and then the direct-currents are output to provide power for the load. The voltage stress borne by each switching tube in an MMC power switch unit is only 1 / N that of the direct-current power voltage, the voltage equalizing problem of the switching tubes is well solved, and the six-switch-block MMC mixed converter and the control method of the six-switch-block MMC mixed converter are suitable for the application of direct access of direct-current high-voltage transmission in distributed generation.