The explosion of explosives is a complex process. The mechanism and laws governing the electromagnetic radiation generated by explosions are currently based on some empirical explanations derived from experimental data, and the current models all have certain limitations. Numerical simulation research on the effects of electromagnetic radiation from explosions is still in an exploratory stage, and further in-depth research is needed. This paper proposes a simulation prediction method of electromagnetic radiation from explosive explosions based on the inversion of electromagnetic characteristics of the explosion center. It is assumed that the electromagnetic radiation depends on the variation with time of the electric dipole moment of the charged particles in the detonation products. The first-order derivatives of the dipole moments of charged particles are obtained based on the inversion method of electromagnetic characteristics. The electromagnetic signal of the explosion source is transferred as the load to the self-developed transient electromagnetic simulation algorithm based on the discontinuous Galerkin time domain method to realize the simulation prediction of electromagnetic radiation generated by the explosion. The correctness of the computational results is demonstrated by comparison with the analytical solutions. Typical numerical simulation results are given for cyclotrimethylene trinitramine (RDX)-based high explosive and cyclotetramerthylenetetranitramine (HMX), and are then investigated. The results indicate that the algorithm realizes the electromagnetic feature recognition of the explosion center and the simulation prediction of electromagnetic radiation generated by explosions.