In this article, event-triggered model predictive control is used for simultaneous tracking and formation of a multi-vehicle system with collision avoidance and obstacle avoidance. An event-triggered mechanism is established to reduce computational burden in the model predictive control strategy. A compatibility constraint is proposed to guarantee collision avoidance and convergence for the multi-vehicle system by limiting an uncertainty deviation of each vehicle.Between each vehicle and obstacles, a safe distance is ensured by a robust obstacle avoidance constraint. Finally, effectiveness and advantages of the proposed strategy are shown by two simulation examples.