Based on the new type graphene material as the pressure sensitive diaphragm, a kind of optical fiber micro-pressure sensor based on Fabry-Perot interference was designed. The reflectivity characteristics of graphene films were analyzed with the theory of thin film optics. Simulation results show that increasing the number of layers can improve the reflectivity of graphene films. According to the theory of optical transmission matrix, the influence of the geometric parameters of the F-P cavity on the reflected signal was studied and simulated. The pressure-sensitive characteristic model of graphene film was established by analyzing the theory of several large deflection circular film strain. The finite element simulation of the deflection behavior of the model was carried out by ANSYS static mechanics nonlinearity, which verifies the accuracy of the model, providing a theoretical basis for the design of optical fiber micro-pressure sensor based on graphene film.