A rice transplanting mechanism with elliptic gear train was investigated in this study. The main part of the mechanism consists of 5 elliptic gears. The tine is mounted at the shaft of the outermost planetary gear. This causes the trajectory at the end point of tine to be near elliptic shape. This shape is needed in the transplanting operation. The concept of anti-parallelogram is used to derive the relation of rotation between the arm and the outermost planetary gear as well as the equations of the trajectory. Accordingly, the trajectory of a pitch point on the outermost planetary gear was obtained. The result was compared with the result in the literature. The consistency was shown. Furthermore, the trajectory at the end point of the tine with two cases, one moving speed is equal to 0mm/sec and the other one is 600 mm/sec, are analyzed. The results can be provided for designing a new transplanting mechanism.