In order to increase the energy efficiency of fuel-cell hybrid electric vehicle (FCHEV) and improve the operating environment of fuel cells, an energy management strategy is proposed. Firstly, wavelet transform is used to decompose the vehicle bus power, and the decomposed low-frequency demand power and the state of charge of the power battery are used as inputs to the fuzzy controller. Then, the output power of the fuel cell is calculated via the energy management strategy. Furthermore, genetic algorithm is used to improve the fuzzy rules and improve the control performance. Finally, a vehicle energy management strategy model is built, and a vehicle dynamics model using Simulink and Cruise respectively, and conduct joint simulation under CLTC-P operating conditions. Compared with the power following based control strategy, the proposed strategy reduces the equivalent hydrogen consumption of fuel cells by 14%. While the vehicle is more energy-efficient, it effectively reduces the start stop frequency and load change rate of fuel cells, thereby extending their service life.