A new fast algorithm of the edge detection for the images——the Markov prediction model is presented, which predicts the positions of the edge points. Based on the merits of the target’s edge, the LMS classifier is used to correct the predicted outputs at the same time. Comparing with the traditional method, the algorithm has a stronger ability of restraining noise and real time processing. The experimental results show that the algorithm has a better detection to any zone of nonmutation and closed. It has been applied to the real time acquisition and processing system for the space remote sensing successfully.