A new analytical method of wind field considering stratified atmosphere is presented. The analytical solutions of wind u, v, and w were obtained by using the perturbation method and double Fourier Transform for the basic equations. The solutions can be applied for arbitrary topography of basins in meso-βA scale. The results of analysis show following characteristics. 1) Ascending wind is suppressed by stratification effects of atmosphere comparing with potential flow. 2) In the case of the range of mountain, it is shown that blocking appears in the case of less than the critical internal Froude number. 3) In the case of internal Froude number sufficiently larger than the critical number, the solution approarchs asymptotically the one for potential flow.