The traditional predictive current control algorithm of photovoltaic gridconnected inverter would cause the beat control due to the sampling and calculation delay, so the current which was sent to the grid could not track the target current well. Meanwhile, the error between the model and the actual value of the inverter filter inductance would cause harmonic to grid current, and cause instability to inverter system. In order to overcome these shortcomings, an improved predictive current control method was proposed. In the improved predictive method, the output voltage of the gridconnected inverter was predicted in a previous sampling period, and recursive least square method was used to identify the inductance parameters online at the same time. Simulation and experimental results showed that the proposed method can effectively improve the tracking accuracy of the gridconnected current to the target current, the harmonic component of the current sent to the grid was reduced. The quality of power supported by the inverter was improved.