Trajectory correction projectiles (TCP) require to predict impact point rapidly for control system design, the truth is that it's impossible to depict real motion of projectile with motion equation. The application of fading memory filter was proposed for impact point prediction. Based on trajectory model and impact point prediction equation, the fading memory filter-based impact point prediction equation was presented. Semi-physical simulation and flight test were carried out based on the method, the results show that the method can filter the date real-time, when the projectile trajectory is corrected, the filtered impact point prediction value will change from one state to another smoothly, it's proved that this method can be used in impact point prediction of TCP.