Under unbalanced grid voltage, second order pulsation component will appear in the output power and the output current of the PV grid connected inverter, which will affect the stable operation of the power system. Based on the mathematical model of PV grid connected system, this paper proposes a direct voltage/power control strategy based on sliding mode control (SMC) for the PV grid connected inverter. When the grid voltage is unbalanced, the control strategy can effectively suppress the power oscillation in the active and reactive power. According to the relationship between the output power and the positive/negative sequence current of the PV grid connected inverter, an improved control strategy is proposed to eliminate the negative sequence current. In addition, a power/current coordinated control strategy is proposed to improve the operating performance of the PV system. Finally, simulation analysis is carried out, and the results verify the effectiveness of the proposed control strategy.