As the core component of high precision fiber optic gyroscope system, the performance of lithium niobate waveguide integrated optical chip directly affects the performance of fiber optic gyroscope system. Proton exchange furnace is the main equipment for the preparation of lithium niobate optical waveguide by proton exchange method. The quality of the furnace temperature control directly affects the quality of the lithium niobate optical waveguide. In order to realize accurate control of the temperature of the furnace, taking the temperature of air as the control object, the proton exchange furnace temperature control model was established based on heat balance mechanism. The stability analysis and PID control simulation by using MATLAB software based on this model were performed. The results show that the built temperature model is stable, and the system with PID control has poor antiinterference ability, which provides a basis for the further study of temperature control strategy.