Aiming to the demand of acceleration sensor in vibration analysis and fault diagnosis,a spring quality system based on elliptical hinge fiber Bragg grating acceleromete r,elliptical hinge and mass block to form the theoretical model of acceleration sensor is proposed.Firstly, according to the mechanical model of the sensor structure,the sensitivity and resonance frequency of the se nsor are deduced.Then the influence of the sensor′s structural parameters on the sensitivity and resonant frequency is analyzed.Then, the sensor parameters are optimized by using Lingo software.Finally,a fiber Br agg grating acceleration sensor is designed and manufactured based on the optimization results.The sensor′s se nsitivity,amplitude-frequency response and horizontal anti-jamming performance are tested.The results show that the resonant frequency of the sensor is about 750Hz,the sensitivity is about 128pm/g,and the horizo ntal noise immunity is less than 5%.It can be used for real-time monitoring of low-frequency weak vibrati on signals below 350Hz.