Since distortion current is not detected in the traditional grid-connected inverter coordinated control method, the calculation time increases during the control process, and there is still room for improvement in the control effect. Therefore, a multi-objective coordinated control method for a grid-connected inverter based on the sliding window DFT algorithm is proposed. An adaptive sampling algorithm is used to automatically adjust the sampling time, the sliding window DFT idea is introduced to construct an active filter, and the distorted current in the grid-connected inverter is detected through the filter. It analyzes the relationship between the power and the coordinates in the grid-connected inverter, and uses the PI parallel and repeat compound controller to track the output current in real time. At the same time, using the principle of linear superposition, the equivalent object model of grid-connected inverter is obtained, the design of the compensation controller is simplified, and finally the multi-objective coordinated control of the grid-connected inverter is realized. Experimental results show that the proposed method can effectively improve the computational efficiency by14.6%, reduce the wave distortion rate by 15.8% and increase the power factor by 14.9%. This work is supported by the Science and Technology Project of State Grid Corporation of China (No. 5642652FKCS35451).