The new placement of elements of large span prestressed cable truss without compressed elements was developed, which is characterized with smaller kinematic displacements and reduced material consumption in comparison with existing solutions. The new design and optimization algorithms of prestressed suspension structure by FEM program ANSYS and programming environment MatLAB were developed, which can be used for broad range of tasks. It was proved that the developed cable truss with rational parameters allows to decrease displacements in the case of the worst situated load in comparison with the single cable in the interval of spans from 50 to 350 m by 26–30%. The results were experimentally verified. The rational from the point of view of material consumption structure of hybrid composite cable, which is characterized by increased safety comparing with composite cables and increased specific strength comparing with steel cables, was developed. The simplified method of determination of natural frequencies of prestressed suspension structure with precision in 20% was developed and experimentally verified.