The unbalanced capacitor voltage of three-phase four-switch converter reduces the grid-connected power quality and lifetime of the electrolytic capacitor. In order to balance the DC-link capacitor voltage, a model predictive power control strategy was proposed. Based on the analysis of the voltage vector in the αβtwo-phase stationary coordinate system, the power predictive model was established. As the DC-link midpoint voltage deviation contains the AC component and DC component, low-pass filter was used to extract the DC component to calculate the power compensation value. Then, the power compensation value was added to the reference power, the cost function to select the optimal voltage vector to achieve grid-connected power control and the capacitor voltage banlance was used. The control strategy does not require phase-locked loop or PWM modulation, and was easy to implement. The dynamic and static characteristics were analyzed by simulation and experiment, and the feasibility of the proposed control strategy were verified.