The application of non-circular helical gears has been restricted to its manufacturing techniques. To realize their hobbing process, based on the strategy of a five-axle linkage, two basic mathematical models of the schemes of work piece extra rotation or hob extra rotation were deduced according to the kinematic principle. The models were simplified based on the algorithms of the equal arc length or equal rotate angle or equal polar angle, which composed the six implementing schemes and functional models. The models obtained were analyzed about the dynamic property of the five synchronal axes, including both their velocities or angular velocities and their accelerations or angular accelerations, by using Matlab. Finally, the two optimization models that equal arc length & work piece extra rotation and equal arc length & hob extra rotation with high accuracy and efficiency were obtained, which have highly dynamic comprehensive performance. The models were demonstrated to be valid by hobbing testing, and the results between the testing of tooth flanks and computer simulations were in good agreement. 