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In the networking operation of wind power generation, grid-connected inverter is important for energy conversion and transmission. But the output current with harmonic component is increased due to the inverterpsilas low switching frequency of PWM signal. In order to reduce the harmonic current of grid-connected inverter, hybrid filter is used in the design of the grid-connected inverter in this article. An electrical model of grid-connected inverter with hybrid filter was built, and then a control strategy based on the intelligent theorem proposed, in which an adaptive PID controller using BP neural network of intelligent theorem was adopted to control the output current of the grid-connected inverter. The results of simulation are given and confirm that the novel control strategy based on the proposed adaptive PID intelligent theorem could get a good control effect for the output current of the grid-connected inverter.