Abstract: As the interconnection interface between the distributed generation unit and power grid, the stable and reliable operation of the closed-loop control grid-connected inverter is very important to ensure its safe operation. If the current sensor fails, the system will face shutdown or open-loop operation, and the controllability will decrease significantly. Therefore, it is of great significance to study the current sensorless control strategy of the grid-connected inverter. In order to solve this problem, a current reconstruction method based on control model and inductance model was proposed in this paper. The method combined the control process variables, DC side voltage and AC side grid voltage to reconstruct the AC side inductance current, and the active damping technology was used to optimize the reconstructed current. The output of the current sensor can be replaced in the current closed loop control, so as to realize the current sensorless control. The research results show that the current reconstruction method can effectively track the current and ensure the accuracy of the reconstructed current. When the current sensorless closed-loop control was adopted, the change caused by the reference value of the current can be quickly reflected, and the stable operation of the system can be ensured. Finally, the correctness and effectiveness of the proposed control strategy have been verified by the Matlab/Simulink simulation and experimental system.