To overcome the drawback that the premature convergence is liable to take place in genetic algorithm，a lowest cost chaotic genetic algorithm with delay，delay jitter and bandwidth constraints is proposed. Introducing the chaotic perturbation to operate the population with a perturbation，the proposed algorithm is employed to maintain the diversity of the population in genetic algorithm，thus to overcome the premature and improve the convergence rate. The simulation results show that the proposed algorithm is effective，quick and stable.