In this paper, an optimal solution for the problem of geodesic lenses with smooth rim was given. The meridional curve is smooth and not singularity, the curvature radius of the rim at the edge of geodesic lens tends to infinite. Therefore the rim shape is optimal and bend loss of rim is minnimized. Because the optimal solution is better than other solutions in analitical form the analitical method for designing geodesic lenses has been developed and perfected.