A geometrically optimal conflict detection and resolution method is proposed to make up for the defect of current methods in air traffic control. Firstly, the conflict resolution point of the problem is defined, at which the possible flight conflicts between aircrafts are predicted. Secondly, the same direction same angle is adopted to solve the flight conflicts; that is, the two aircrafts turn the same angle to the same side at the same time on the original track to obtain a new track crossing point, namely a track recovery point. Thus the minimum separation between the two planes is always maintained. Through geometric analysis, the relationship between the sum of the track distances of the two aircrafts and their respective change of heading is theoretically deduced. The model can effectively solve the flight and conflicts, and specifically give the position of the conflict resolution and track recovery, as well as the parameter solving process involved. Finally, the simulation results show that the method is simple and efficient.