Abstract: The gear skiving process is characterized by high efficiency, high precision, and strong adaptability to various processes. To satisfy the modern requirements for high-performance gear modification processing and ensure modification accuracy, a topological modification method for gear skiving based on multi-axis linkage has been proposed. Initially, the standard gear skiving tool tooth surface equation was constructed using the rack generation method. By applying the kinematic principles of the gear skiving process, the mathematical model of the topological modification tooth surface was derived, establishing the mapping relationship between the gear skiving tool and the workpiece. Subsequently, considering the multi-degree-of-freedom processing characteristics of the gear skiving process, the motion of each axis of the tool during the cutting process was represented through polynomial expansion. Based on the designed tooth profile modification curve and tooth direction modification curve, the standard rack undergoes topological modification, and the target modification tooth surface was processed using the modified rack. Finally, with the normal error of the target modification tooth surface as the optimization objective, the genetic algorithm was employed to optimize and solve the polynomial, yielding the optimal actual modification tooth surface. Simulation results demonstrate that this method can effectively achieve topological modification of the workpiece tooth surface via multi-axis linkage, with minimal modification error, thereby meeting the required modification processing accuracy.