To realize the controllable of the motion state of double generating- wave swing- rod movable tooth drive,the reverse design of wave generator tooth profile is carried out by using the complex number vector method based on the given motion law of the swing- rod. The tooth profile equation of wave generator is built,and the tooth profile equation of central wheel is deduced in detail based on converted gear train and envelope principle to get the same form theoretical tooth profile equations of wave generator and central wheel. The change law of central wheel curvature radius is illustrated based on the same mathematical model analysis,the non- interference conditions of equidistant teeth profile are given. The effect of structure parameters for the minimum profile curvature radius during the process of designing is analyzed and the principle of choosing the parameters is formulated. The change law of the velocity of swing rod movable teeth is analyzed during the transmission process. The results of the design example contribute to the series design and parametric design of double generating- wave swing- rod movable tooth drive while the operating condition is given.