The finite element software ANSYS was used to study the out-of-plane stability of cable-stayed arch bridges under static wind loading, and the influence of cables on the lateral static wind stability of cable-stayed arch bridges was considered by considering different parameters such as cable pretension, cable tower height, cable distance and cable arrangement position. The results show that the cable can effectively control the out-of-plane instability of the structure, and the cable-stayed arch bridge has high transverse wind stability. Increasing the cable pretension, increasing the height of the cable tower and reducing the cable distance can improve the lateral static wind stability performance of the structure, and the tower height has the most significant impact, and the height of the cable tower can even nearly double the lateral static wind stability performance. The arrangement position of the cable has a significant influence on the stability of the transverse static wind, and the centerline of the cable surface should be located at the quarter of the arch rib.