The electromagnetic scattering by buried objects in dispersive media is calculated by FD-TD method. The FD-TD formula and the absorbing boundary condition in Debye dispersive media are deduced
respectively. The validity of this method in lossy media is verified through comparing the FD-TD’s result with other one. The propagation of transient pulses in dispersive media is studied in detail. The scattering pulses and the wiggle traces are given for several typical buried objects.