Proton exchange membrane fuel cell (PEMFC) has problems such as unstable output voltage and low power generation efficiency, so Boost circuit is needed to ensure voltage quality and meet system requirements. According to the output characteristics of PEMFC, the mathematical models of PEMFC and Boost circuit are built on the Matlab/Simulink platform. Considering that linear active disturbance rejection control (LADRC) has excellent dynamic response speed to disturbance, a fuzzy neural network-linear active disturbance rejection control (FNN-LADRC) is proposed for voltage loop control of Boost circuits. The key parameters of the linear active disturbance rejection controller are tuned by FNN-LADRC to realize real-time optimization of the controller. The simulation analysis compares the performance difference of output voltage between the FNN-LADRC control strategy and the LADRC control strategy under different working conditions. The results show that the regulation time under the FNN-LADRC control strategy is 5 ms and the regulation time under the LADRC control strategy is 40 ms without disturbance. The FNN-LADRC control strategy has faster adjustment time and stronger anti-interference ability under disturbed conditions. Combined with IAE index and ITAE index, the effectiveness and superiority of the proposed control strategy are verified.