The magnetic compression power supply, which is an important part of the magnetic compression system, is mainly used to supply power to the compressed magnet to form the magnetic field shape required for the field reversed configuration (FRC) plasma compression. The large number of compressed magnet coils and the complex coupling relationship between the coils make it difficult to solve the power supply parameters required to form the target magnetic field. A method is proposed for designing the parameters of the magnetic compression power supply based on genetic algorithm with high efficiency. According to the topology of the magnetic compression power supply and the coupling relationship between the coils, the physical model of the power supply system is derived. On the basis of the physical model, the design method of compressed power supply parameters based on genetic algorithm is proposed, and the basic principle of the method is clarified. The algorithm code and the MATLAB simulation model are established. Under the ideal situation and practical engineering design conditions, the power supply parameters of the HFRC magnetic compression system were optimized, the results of the optimized magnetic field are basically consistent with the target magnetic field shape. Meanwhile, a MAXWELL simulation model is established for comparative analysis, the results of these two modes fits well, which verifies the effectiveness and accuracy of the method in power supply design.