Lasers with ultra-narrow linewidth and high frequency stability are th e critical component for the development of optical atomic clocks,gravitational wave detection,optical frequency synthesizers and low-noise microwave sources. Vibration-induced frequency noise has become a major limitation for lasers with narrower linewidth and higher frequency instability.In this paper,we optimize the cutting depth and support positions of the reference cavity and the size of the ULE ring by utilizing Ansys finite element analysis.The cavity mirrors are parallel with each other and each point of the cavity mirror has low vibration sensitivity,avoiding the problem of cavity length variation due to assembly errors.After optimizing the geometry of the optical cavity,we measured and analyzed frequency response of the vibration sensitivity of the reference cavity,the expe rimental results show that the vibration sensitivity of the cavity in three dime nsional axes can be suppressed to the order of 10-10 g-1 with the optimal support position,and the experimental and simulation results are in good agreement.This work provides a method for the design of vibratory-immune cavit y and lays a foundation for the realization of laser with higher frequency stabi lity and narrower linewidth.