A suspension bridge is one of the most rational structural solutions for a long-span bridges because it’s main load carrying elements are under tension. But increased deformability, which is conditioned by appearance of the elastic and kinematic displacements, is the main disadvantage of suspension bridges, from other hand. The problem of increased kinematic displacements under the action of non-symmetrical load can be solved by prestressing. The prestressed suspension bridge with the span of 200 m was considered as an object of in-vestigation. The cable truss with the cross web was considered as the main load carrying structures of prestressed suspension bridge. All elements of the cable truss are tensioned. The considered cable truss was optimized by 47 variable factors using Genetic algorithm and FEM pro-gram ANSYS. It was stated, that the maximum total vertical displacements are reduced up to 29.9% by using of the cable truss with the rational characteristics instead of the single cable in case of the worst situated load.