In this paper, we consider the results of the numerical simulation of the propagation of seismic and acousto-gravitational waves for the spatially inhomogeneous "Atmosphere-Earth" model. The seismic wave propagation in an elastic half-space is described by a system of first order dynamic equations of the elastic theory through interconnection of a component of displacement velocity vector and a component of the strain tensor. Acoustic-gravity waves propagation in the non-ionized isothermal atmosphere is described by the linearized Navier-Stokes equations. It is assumed that the wind is directed along the horizontal axis, and that the speed and direction of the wind depends on the height. For the numerical solution of the problem, the numerical method based on combining integral of the Laguerre and the Fourier transforms with a finite difference algorithm is used.