This paper proposes parallelization methods of ACO algorithms on a computing platform with a multi-core processor aiming at fast execution to find acceptable solutions. As an ACO algorithm, we use the cunning Ant System and test on several sizes of TSP instances. As the parallelization method, we use agent level parallelization in one colony using Java thread programming. According to the synchronization and exclusive control modes among threads, we propose three types of parallel ACO algorithms. Among them, that which we call the rough asynchronous parallel model shows the most promising results.