A high-order tuning gear transmission principle is proposed，and the staggered phase angle of the tuning gear is defined.The parameter design study of a high-order tuning gear is carried out based on dynamic meshing force. The optimal transmission parameters of tuning gear are deduced. The influence of the staggered phase angle of the tuned gear and tuning order on the dynamic response is verified. By combining with specific cases，the dynamics of the high-order tuning gear are carried out via numerical simulation. The influence of the high-order tuning gear transmission parameters on the dynamic meshing force and vibration response of the system is studied. The results show that when the tuning order is 2（second-order tuning gear）and the phase angle is 1/2 pitch，the variable meshing stiffness and contact force fluctuations of the tuning gear are the smallest. And the vibration displacement and vibration acceleration fluctuation are also the smallest，which theoretically proves that the second-order tuning gear has obvious vibration reduction effect.