Considering the characteristics of the full-power fuel cell vehicle, a power following control strategy based on fuzzy correction is proposed to improve the vehicle economy. At the same time, the battery life issues caused by frequent opening of fuel cell and excessive charging and discharging of battery is taken into account. On the basis of the power following strategy, the fuzzy control is adopted to consider both the battery SOC and the required power. The power correction coefficient is adjusted online in real time to improve the operating point distribution of fuel cells while correcting the SOC. The vehicle simulation model is established by Matlab/Simulink, and the control strategy is simulated in an offline environment. Finally, the simulation results show that the energy management strategy proposed in this paper improves the hydrogen consumption of the vehicle by 1.37% per 100 km and the average fuel cell efficiency by 1.14%.