The invention belongs to the field of computational electromagnetism and high-performance computation, and specifically relates to a GPU parallel-based Leapfrog ADI-FDTD method. According to the method, a Yee grid is adopted and a GPU parallel computation technology is applied into a Leapfrog ADI-FDTD algorithm with a CPML absorbing boundary so as to form a GPU parallel acceleration-based Leapfrog ADI-FDTD algorithm with the CPML absorbing boundary, so that excellent characteristics of the Leapfrog ADI-FDTD algorithm and CPML absorbing boundary are kept, the computation efficiency is greatly improved, the computation time is greatly saved, the time periods and cost of numerical simulation tests are decreased, and high-efficiency demands of related scientific researches or device design are achieved.