In this paper, the aviation supplies inventory in maintenance process is taken as the study subject. Based on reasonable hypothesis, aviation supplies consuming process in a fixed period is regarded as stochastic process, and inventory process and inventory control system model are built. Take tire inventory as an example and then the model parameters have been identified. On this basis, aviation supplies inventory control system is designed by means of stochastic control theory, which could optimize inventory quantity. Finally, simulate inventory control process by MATLAB simulation software. The results show that inventory variance and average inventory quantity decrease, which can significantly reduce the stock fund and maintenance cost.