Abstract: Modular multilevel matrix converter（M3C） as a new topology has many advantages, but it has many control variables and complicated control structure. Firstly, the working principle of M3C system is analyzed, and its mathematical model is established. On this basis, the control strategy for voltage and current output, bridge arm current, bridge arm energy balance, and the voltage balance of bridge arm sub-module capacitor are analyzed and investigated. The overall control scheme of voltage and current both at the input and output of AC side of M3C system are also given to achieve the stable operation with good dynamic and static characteristics. Finally, M3C system structure simulation model and experimental platform are established, and the control method is simulated and experimentally verified, which verifies the reliability and stability of M3C system control strategy.