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In this paper, a fixed support method for a cryogenic monocrystalline silicon Fabry-Pérot cavity of an ultra-stable laser for space applications is proposed. Through finite element analysis, the vibration sensitivity at the center of the cavity is below 10E-12/g; the fundamental frequency is 381 Hz; the thermal deformation is compensated by applying a preload force of about 3 N*m for a variation of 300 K to 124 K. Based on these analyses, an equal-mass cavity simulator was machined and mounted. The mounting process was then explored to keep its support angle mounting error within 40'. Next, the simulator was vibration tested, and the deviation of the cavity after the test was within 10″. Finally, the thermal deformation of the simulator and the support performance of the PEEK cylinders at 77 K was briefly verified. These works provide an alternative solution for future ultra-stable lasers with cryogenic monocrystalline silicon cavities for space applications., Competing Interests: Declarations. Competing interests: The authors declare no competing interests., (© 2025. The Author(s).)