This paper firstly makes a brief introduction about TSP problem, Genetic Algorithm and Ant Colony Algorithm, then gives the basic principles and steps of the two kinds of algorithms in solving the TSP problem, does design analysis and experiments of the two kinds of algorithms for solving TSP problem, and draws some useful conclusions: under the experimental conditions, while the population during 5 to 15, the Ant Colony Algorithm for TSP problem is more effective; when the population is 1~2.5 times than cities, it can get better results by using Genetic Algorithm for solving TSP.