Abstract-Corner detection algorithms are widely used in image recognition, image matching and edge detection. Accurately finding a corner in a image can greatly improves the algorithms accuracy of the above research areas. So many scientists and researchers have begun to the hot research field and have made much remarkable achievements. The paper introduced the theory of classic corner detection algorithm, including Harris algorithm, surf and sift algorithm, ORB algorithm, Susan algorithm and so on, And compared the difference of classic algorithms. Then, the recently outstanding algorithm and its application are introduced. Finally, the paper summarizes the research trends about corner detection algorithms.