By means of optimization methods, degree reduction of rational Bzier curves is changed to an optimization problem so that both weights and vertices are considered respectively. Using programming method and Genetic Algorithms, a new method on the reduction of rational Bzier curves is presented. The method has the following virtues: Firstly, it is simply to get the result by fitness function, copy process, crossover process, mutation process, and selection process. Secondly, the rational Bzier Curves can be reduced many times and interpolated. Finally, the reduced Bzier curves can be represented explicitly.