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The vibration stability is one of the important performances of resonant accelerometer, which has an important impact on measurement accuracy and reliability.In this paper, the sensitive structure vibration stability of the resonant accelerometer is taken as the research object, and the influence of structural parameters on the resonant beam vibration stability is studied.First of all, the sensitive mechanism of resonant accelerometer is analyzed, and the dynamic mathematical model of resonant beam is constructed.Then the general approximate solution of the vibration beam dynamic mathematical model is solved by the means of small parameter perturbation, which provides a theoretical basis for the resonant beam vibration stability.In the condition of two typical axial forces, the transition curve of stability range for the dynamic mathematical model is obtained, which makes it possible for a quantitative analysis of the corresponding relationship between the resonant beam vibration stability and the accelerometer structural parameters.Finally, according to the conclusion of stability analysis, the 1<i>g</i> static rolling test is performed on the accelerometer.The research results show that stability analysis provides effective theoretical foundation for optimizing the accelerometer structural parameters.