An hyperbolic distributed parameter system is dynamically analyzed in consideration of the application to the ground vibration and then its green function is derived. The wave velocity and excess attenuation are investigated by the Fourier transform of the green function and compared with the usual results. As, in the actual system, the system parameters are mostly unknown, we present an estimate of the system parameters in which the above green function is utilized with the measurements of the response wave. The excess attenuation can be evaluated from the estimated parameters and the amplitude of the vibration is estimated from the above excess and geometrical attenuation. Finally, it is evident from the experimental results that the parameters of the actual ground vibration system may be estimated by this method.