A calculation method of searching of optimum elastomer bumper shape is presented. The optimization criteria connected with static response curve are chosen. The optimization is carried out using polynomial approximation of an aid criterion and functional restrictions basing on calculations in specially chosen points of the acceptable values area. An algorithm of these calculations is developed. It is based on the finite element method taking into consideration unique elastomers characteristics such as ability to have big deformations without any failure and practical incompressibility. The loading is concerned as a sequence of some steps. Within of them the deformation increment is considered as small one. Such approach allows to analyse deformations as high as 50%. The corresponding software has been developed. The proposed approach and software can be used as some part of CAD/CAM system or as a separate tool of design of elastomer bumper systems.