To study the influence of stressed skin on the global stability of aluminum alloy frame of radome structure, a static loading test was conducted on a radome which has a span of 5.8 m and a height of 4.3 m. A self-designed multi-stage distribution beam loading system was applied to the structure, and simultaneous multi-stage loading was realized on the structure at multiple points. Three load cases, i.e., completely covering skins, partially covering skins, and framework, were discussed respectively. Test results show that due to the lateral bracing of the stressed skin on the aluminum alloy members, the prematurely elastic instability of the members around the weak axis was avoided, which significantly improved the global stability bearing capacity of the structure. When a small amount of stressed skin was destroyed, the global stability bearing capacity was still much higher than that for the framework case. Therefore, in the design of such radomes, the cooperative performance of the stressed skin and the frame should be considered to solve the problems of structural safety and electromagnetic transparency.