This paper presents a new and simple Finite Control Set Model Predictive Control (FCS-MPC) strategy of the Modular Multilevel Matrix Converter (M 3 C). This converter is one of the direct AC/AC power converters suitable for medium-voltage high-power machine drives with regenerative capacity. One of the main feature of this converter is that does not need external dc-voltage supplies and thus, all capacitor voltages have to be regulated to the desired value. Therefore, this paper provides a cost function that considers error terms related to the output current and capacitor voltages. Moreover, a compensation input current is presented in order to improve the dynamics response of the capacitor voltage average value. Simulation results illustrate that the proposed algorithm is capable to achieving good performance, even in critical operation point of the M 3 C.