Genetic Algorithms (GA) comprise a class of evolutionary computation (EC). A difficulty with GA is that the traditional crossover operation introduces order-dependency and hence an increase in rendering passes on SIMD GPUs. To parallelize EC on GPUs, this project proposes to use another class of EC called Evolutionary Programming (EP), which applies mutations locally. The project studies in-depth how to efficiently map an EP algorithm to SIMD GPUs, including a scalable and visualizable genome map, mutation, tournament and selection, and finally convergence visualization. Intensive experiments and careful comparisons are conducted to demonstrate its performance speedup and accuracy. The project also shows that it is conceptually wrong and infeasible to generate high-quality random numbers on the current generation of GPUs and that the low-quality random numbers will lead to poor performance of EC. (K. L. Fok, T. T. Wong, and M. L. Wong, “Evolutionary Computing on Consumer-Level Graphics Hardware”, IEEE Intelligent Systems, and “Parallel Evolutionary Algorithms on Graphics Processing Unit” in Proc. of IEEE Congress on Evolutionary Computation 2005.)