A numerical model of the laser beam propagation through the turbulent jet from an aero-engine has been developed based on the Monte Carlo method. The model describes the features observed experimentally that could not be explained by the standard model of a turbulent layer. Among those there is such as the strong dependence on the radiation wavelength and spatial anisotropy of statistical characteristics of the distorted beam. Comparison of the results of computer experiments with the data obtained in the field experiments indicates the correctness of the model and computational algorithms developed. With the allowance made for inevitable measurement errors, there is a good agreement between almost all statistical characteristics of the distorted laser beams obtained in different configurations of the field and imitative experiments.