Abstract: In order to improve the efficiency of parameter configuration in through-feed centerless grinding test under specific machining conditions, a static rounding stability model reflecting the quantitative relationship between grinding parameters and the growth of each order harmonic error is established and numerically simulated. Firstly, the static circular stability condition is established by taking plunge centerless grinding as the research object. Secondly, the geometric relationship between the workpiece and the grinding system is analyzed in three-dimensional space according to the requirement of the ideal line contact between the workpiece and the guide wheel, and the relevant parameters are characterized in the same coordinate system by means of the homogeneous coordinate transformation method, so as to derive mathematical expressions that can solve the grinding angle and the contact angle between the workpiece and the guide wheel at different coaxial positions. The static rounding stability model of through-feed centerless grinding is established by combining with the static rounding stability condition of the plunge centerless grinding. Finally, the stability model is verified by experiment. The experimental results show that the average decline rate of each order harmonic amplitude of the workpiece is positively correlated with the stability value of each order harmonic calculated by the static rounding stability model. It is shown that the model can effectively predict the variation of each order harmonic amplitude in actual processing.