The eccentric-gear can be used for variable speed transmission.But,due to the vibrations caused by variation of backlash in working process,the eccentric-gear is seldom applied in engineering project.There is just a little study about the eccentric-gear.And it is necessary to take a further research on eccentric-gear transmission for the applications in the transplanting mechanism of high-speed rice transplanter.The key of this paper is to extend understanding of three following characteristics of this drive:(1) The rotation-center-distance and the geometrical-center-distance of the two meshing eccentric gears are respectively the hypotenuse and the straight edge of a right triangle in a cycle.(2) The geometrical center line of two meshing gears divides the linking-line of the two rotational centers equally.(3) When two times the eccentricity of gear,the rotation-center-distance and the geometrical-center-distance form a right triangle,the optimal value of rotation-center-distance can be determined.In addition,the kinematic analysis,such as the relationship between contact point and midpoint of the linking-line of two gears’ rotational centers,transmission ratio between the driving-gear and the driven-gear,contact angle and coordinate of contact point are be made,further the formula for calculation of contact force,flow chart for writing optimization program and curve for analysis of data are also be developed.The relationship between the rotation-center-distance and the geometrical-center-distance,which is determined by three characteristics mentioned above, is a key for the rational design and application of eccentric-gear transmission.Particularly,the presented right triangle property of eccentric gear drive is an important reference for effective analysis of dynamic characteristic of eccentric-gear mechanism and its reliable design. The eccentric-gear can be used for variable speed transmission. But, due to the vibrations caused by variation of backlash in working process, the eccentric-gear is seldom applied in engineering project. And it is necessary to take a further research on eccentric-gear transmission for the applications in the transplanting mechanism of high-speed rice transplanter. The key of this paper is to extend understanding of three following characteristics of this drive: (1) The rotation -center-distance and the geometrical-center-distance of the two meshing eccentric gears are the hypotenuse and the straight edge of a right triangle in a cycle. (2) The geometrical center line of two meshing gears divides the linking-line of the two rotational centers equally. (3) When two times the eccentricity of gear, the rotation-center-distance and the geometrical-center-distance form a right triangle, the optimal value of rotation-center-distance can be determined.In addition, the kinematic analysis, such as the relationship between contact point and midpoint of the linking-line of two gears’ rotational centers, transmission ratio between the driving-gear and the driven-gear, contact angle and coordinate of contact point are be made, further the formula for calculation of contact force, flow chart for writing optimization program and curve for analysis of data are also be developed. relationship between the rotation-center-distance and the geometrical-center-distance, which is determined by three characteristics mentioned above, is a key for the rational design and application of eccentric-gear transmission. Particularly, the presented right triangle property of eccentric gear drive is an important reference for effective analysis of dynamic characteristic of eccentric-gear mechanism and its reliable design.