<p>The gear generating machining utilizes the electronic gearbox (EGB) to ensure precise synchronization among motion axes, wherein the gear machining precision is highly sensitive to the performance of multi-axis motion control. However, the coupling mechanism between multi-axis motion control and gear machining precision remains insufficiently explored, particularly in continuous generating grinding processes. To bridge this gap, this paper proposes a modeling and compensation method for gear machining errors based on multi-axis motion control of EGB. Considering the kinematic characteristics of continuous generating grinding and the formation mechanism of gear machining errors, a mathematical model is developed to quantify the relationship between axis motion errors and gear machining errors, including profile deviations, helix deviations, and pitch deviations. By acquiring real-time motion error data, the prediction of gear machining errors is realized. Based on this, the servo parameters of the Siemens 840D sl servo drive system for the gear grinding machine are optimized to enhance the dynamic response performance of the motion axis and compensate for gear machining errors. Experimental verification confirms that servo parameter optimization can effectively reduce gear machining errors, providing a practical solution for improving gear manufacturing precision.</p>