Abstract: In order to solve the problem that the target is transiently occluded during the automatic tracking process, an automatic tracking control strategy on electro-optical targeting system (EOTS) was presented. In the normal tracking state, the current tracking control command is recorded, and when the target is partially or completely occluded, the control system enters the memory tracking state. The method can predict the trajectory of the target by conducting quadratic curve fitting for the recorded control command, so as to ensure the stability and reliability of automatic tracking.When the target suddenly changes the direction or speed, the prediction error of the quadratic curve fitting is no more than 6%, which is much smaller than the prediction error of linear fitting of 73%. This method was verified by flight test on a certain kind of EOTS. The result shows that when the target is occluded, the EOTS tracks the target smoothly, and the sight line has no obvious shaking.