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Cycloid gear is one of RV Reducer core components used in Robot. Its accuracy of the tooth profile curve plays an important role in meshing transmission of RV Reducer. First of all, the mathematical model of cycloid curve and mathematical model of cycloid gear profile are established in paper. Then, according to the forming principle of cycloid curve, flow chart for parametric design of cycloid curve is done. On this basis, the design platform is developed by GUI program of MATLAB software, in which dynamic forming process of three kinds of cycloid curve can be respectively realized, including the wheel rolling along a straight line, along outside the circumference of a circle and along inside the circumference of a circle. Finally, parametric visual design of the cycloid tooth profile curve could be realized by the software in paper, including epicycloid and hypocycloid. And at the same time, the standard and after modification cycloid gear tooth profile with different parameters could be designed by the software GUI. These works will lay the foundation for the cycloid gear's designing and profile modification and NC machining, and so on.