Abstract: The two types of difference schemes, the integrated conservative type and the equivalent semi-Lagrangian type, based on the analogue to the principle of conservation of the absolute vorticity by the finite difference, are presented. In the first type, the explicit scheme is conditionally stable and the implicit scheme non-conditionally stable. The second type is the non-conditionally stable explicit scheme. As a numerical test of the present schemes, equations(7),centred fimite difference(Ⅲ') and(28, 27) in the 1 were used in solving geostrophic barotropic model. Table 2 shows the examples of the calculate results.