With the continuous improvement of precision requirements in aviation manufacturing, the problem of error sources in turning machining process has become an important factor affecting product quality. This paper proposes a fuzzy mathematics-based reliability analysis and optimization strategy for turning machining process in aviation manufacturing. Through the fuzzy mathematical method, the machining error and error source are modeled, and a turning machining error compensation model is proposed by combining the logical relationship between the machining error and the error source. In the study, a thin-walled cylindrical workpiece was selected as the research object, and its machining error was optimized using the iterative compensation method. The experimental results show that at a spindle speed of 6000 rpm and a depth of cut of 0.56 mm, the material removal rate (MRR) is increased by 23.6% and the reliability is improved to 0.9999. By this method, the machining error is significantly reduced and the machining accuracy is improved. This strategy can effectively reduce the influence of error sources on the machining process, optimize the machining path, and improve the reliability and efficiency of the manufacturing process. The optimization method of turning machining process based on fuzzy mathematics has a good application prospect.