The space environment simulator is a facility used to conduct thermal test for spacecraft, and vacuum vessel is the main body of it. During the test process, the vacuum vessel is exerted an external pressure of 0.1MPa, and there are various pipe orifices on the body of the vessel, therefore the intensity and stability should be taken into account carefully. This paper introduces three approaches for the design of structure intensity and stability of vacuum vessel, and takes GVU-600 space environment simulator as an example, which is the first aerospace facility developed by China for Russia. One approach is calculation by rules, and the second method utilizing finite element analysis, which could check details of the structure, but the efficiency of the previous two methods is low. In the end, a mathematics approach is introduced, which utilizes the optimization model, and the design parameters could be calculated accurately and efficiently.