This paper presents the theoretical model for-forward prediction of earthquake ground motion on the basis of wave propagation theory and source dynamics. The two layered half-space is supposed as the refined wave propagation path and site model. The theoretical ground motion model is expressed by the convolution of the Green's functions of two layered half-space and the source function for rupture process on fault surface. The influence the key parameters describing ground .motion model on the wave form and Fourier spectra functions are investigated as they relate to the characterization of strong ground motion.