In order to improve the operation efficiency of flights in the terminal area， this paper predicts the arrival time of flights in the terminal area based on the queuing model， so as to find out the flights with too long arrival time and low arrival efficiency， and take countermeasures in advance to ensure the normal operation of flights. Taking Tianjin Binhai International Airport as an example， the research results show that the arrival discipline of flights in the terminal area obeys the Poisson distribution， and the service time obeys the Gamma distribution. The general service time M/G/1 queuing model established in this paper can predict flight arrival time well. The mean absolute error （MAE） of the terminal area flight arrival time prediction in units of 15 min is about 1 min. The queuing model built in this paper predicts the arrival time by grasping the overall flow characteristics of the arrival traffic flow， which reduces the difficulty of the existing model， and the prediction results can bring more direct guidance and suggestions for improving the control work.