Abstract: A new and useful design method is given for solving the pressure distribution of a profiled elastic roller of definite length on half-space. An optimal profile of rollers is obtained so that its pressure distribution will be minimum under a given load. By analyzing the special charictristics of the mathematical model of this problem and doing a large amount of calculations, it shows that the proposed method is easy to converse to an optimal point and can be used in the design of bearings with profiled rollers.