Abstract: Ground Penetrating Radar (GPR) is a new geophysical tool which generates super high frequency pulse electromagnetic wave used to detecting the distribution of underground media. The attenuation behaviors of GPR pulse wave with wide frequency band and high frequency in underground media are very complicated process courses. In this paper, from Maxwells equations, the attenuation behaviors of GPR pulse electromagnetic wave propagation in heterogeneous medium are systematically studied and the obtained results are very useful for knowing the propagation mechanism of GPR pulse electromagnetic wave in underground hetorogeneous medium.