The immanent existence of system latency greatly affects the control behavior of a closed-loop system. In order to reduce the influence induced by latency, this paper proposes a systematic method based on neural network to predict the motion of objects in a high-speed, dynamic, and competitive environment. We apply this method to the competition of RoboCup Small Size League, and implement different approaches for different types of objects. The predictor improves the performance of our control system, and it has been successfully tested at several RoboCup competitions with our ZJUNlict team.