The integrity of the wellbore is an important guarantee for the safe and efficient production of gas storage facilities. During the periodic and repetitive injection and production process of gas storage facilities, the gas storage well bears alternating loads, leading to leakage of the injection and production column, causing an increase in the annular pressure of the gas storage well, posing a major safety hazard to the safety production of the gas storage facility. Fiber optic monitoring technology can achieve long-term real-time monitoring of wellbore leaks, ensuring the safety and control of injection and production wells. Taking X well in a certain gas storage facility as an example, this paper explores the application of distributed fiber optic monitoring technology in the analysis of annular pressure in oil reservoir type gas storage wells. Based on monitoring data such as downhole fiber optic monitoring, fluid composition, and wellhead pressure changes, the location of underground pipeline leakage points was analyzed. The research results indicate that the application of distributed fiber optic monitoring technology can monitor the leakage position of injection and production well tubing in real time, determine the leakage of casing, tubing, and packer, and provide technical support for the safe operation of gas storage facilities.