Abstract: In the first part of this article, the linear properties of MHD wave propagation is discussed. Then, in order to simulate the global characteristics of wave propagation in the solar chromosphere-corona, by employing a 2-dimensional time-dependent compressible MHD simulation subject to a self-consistent non-isothermal, non-uniform initial state, we study numerically the global propagation process of the disturbances initiated by a pressure pulse implemented at the bottom of chromosphere. Numerical results indicate that, in polar region, propagating disturbances can be distinguished into two modes, i.e. fast and slow magneto-acoustic waves. Whereas in the vicinity of solar equator, propagating disturbance is regarded as fast mode wave, and a standing disturbance is found to be located near the source region. These results may help explaining the wave events observed by SOHO/EIT.