Abstract: The time-domain computation of electromagnetic field has attracted more and more attention because it can obtain the time-domain response of the target by one calculation, and combines the advantages of Fourier transform to obtain broadband information. In this paper, the research progress of finite-difference time-domain and unconditional stability algorithm of finite element time-domain in recent years is introduced. In addition, the new development of discontinuous Galerkin method time-domain, which is an updated scheme of finite element method time-domain, is introduced.