Base on the space engagement theory, a design method of eccentric—high order elliptical bevel gear pair was presented, the mathematical model of eccentric—high order elliptical bevel gear drive was established, pitch cone and spherical pitch curve of the eccentric elliptical bevel gear and the high order elliptical bevel gear were derived; the position of the cutter in the space during tooth profile of eccentric—high order elliptical bevel gear was generated analyzed. Secondary development based on Solidworks (API) and VB, which made the pseudoentity and assembly model of eccentric—high order elliptical bevel gear pair was obtained; and then the transmission characteristics of eccentric—high order elliptical bevel gear pair was analyzed，the change laws of eccentric—high order elliptical bevel gear pair, angular velocity and angular acceleration of driven wheel during the transmission were acquired.