Some cable-stayed bridges are composed of a spatial rod system structure that is interconnected by multiple cables, towers, beams, and piers. This paper studies the spatial rod system structure of a cable-stayed bridge and uses ANSYS software to construct a spatial rod system structure model of the bridge. According to the most unfavorable transverse load condition of the bridge, a static load analysis of the spatial rod structure of the bridge is carried out to further verify the stability of the spatial rod system structure of the cable-stayed bridge.