For elastic rod system loaded due to mutual static shift of its supports the shape of its axial line was found that lower natural frequency of system oscillations is maximal and at the some time limits to translations and stresses in specified sections are met. Design variables are parameters that unambiguously determine coordinates of units finite-element model of system. Method of optimization of rod system involving analysis of sensitivity on designing has been accomplished as a package of applied programs. Dialogue regime between user and computer is envisaged. For construction of finite-element model the use was made of rectilinear and curvilinear elements with matched and diagonal matrices of mass, respectively.