The operating frequency of the six-axis accelerometer is an important indicator for evaluating the measurement performance. However， the theoretical model of this performance has not yet been established because there is no test platform that can fully meet the calibration requirements on the market. Aiming at this situation， a Stewart-derived six-axis accelerometer is taken as an example. A mathematical model of the operating frequency band of the sensor is established by deriving the fundamental frequency and its relationship with the upper limit of the operating frequency band. First， the quaternion is introduced into the second Lagrange equation of the system， and then the quadratic expressions of the kinetic and potential energy functions are deduced. The specific fundamental frequency value is obtained by the matrix iteration method， and the verification results show that the number of iterations of the designed algorithm does not exceed 19. The calculation error is less than 0.000 1%， and then， based on the orthogonal design theory and ADAMS software， 256 sets of virtual experiments on retrieving the feasible operating frequency are designed. The results show that the upper limit of the operating frequency band is always between 1/35~1/32 of the fundamental frequency， and the uncertainty of the data is only 0.004 1. Moreover， the space Model theory is used to study the distribution law of the operating frequency band performance indicators and structural parameters of the sensor， and a global performance map is drawn， which provides a reference for the subsequent structural expansion. At last， a physical prototype of a six-axis accelerometer is fabricated and tested in its operating frequency band. The relative error is less than 0.53%， which verifies the validity and feasibility of the frequency band model.