In this paper a distributed model predictive control has been proposed for air traffic management problem in which aircraft use optimization to determine their own flight trajectories. The coordination approach of Self-organized Time Division Multiple Access is used to ensure no two aircraft re-plan their trajectories simultaneously. Unlike existing distributed predictive control, which needs a pre-organized optimizing sequence, this new approach requires no central coordination. By also terminating every trajectory with a loitering circle, recursive feasibility and constraint satisfaction, especially separation, can be guaranteed
