Abstract: The attenuation law of shock wave in water, soil and concrete were numerically simulated by applying ANSYS/LS-DYNA. The results showed that: The magnitude of wave impedance has greater effects of the shock wave initial peak; the shock wave in soil lasted the longest and decay slower. The relationship between the shock wave speed and intensity is approved, the greater intensity, the higher velocity. The media compressibility has greater effects of the energy. The energy in soil is maximal, which in water is minimum.