Generally, two spiral tool path generation methods are applied to ultra-precision three-axis turning of off-axis convex ellipsoidal surface, which are tool path generating by revolving around the axis of convex ellipsoidal surface and revolving around the axis of cylindrical surface. In this article, two different computed results of spiral tool path generation for off-axis convex ellipsoidal surface are analyzed, and several key technologies during tool path generation are analyzed in theory. The general procedure of generating the precision tool trajectory is also presented. The characteristics of two different turning trajectories for the surface manufacturing are compared and studied in some typical aspects in the end. The studies show that each of the two different tool path generation methods has its own suitable work environment, and a reasonable method should be chosen according to the processing requirement and work environment during the process of single-point diamond turning. The analysis and argument presented provide an effective choice of the accurate spiral tool path generation method in ultra-precision manufacturing of the off-axis convex ellipsoidal surface, and the method can be used in the accurate spiral tool path choice of any kind of off-axis surface.