In digital image correlation (DIC) method, surface fitting algorithm of correlation coefficient is a simple and high efficiency subpixel displacement measurement algorithm. In surface fitting algorithm of correlation coefficient, analytic solutions of some algorithms cannot be derived directly, such as Lagrange polynomial surface fitting algorithm, binary cubic polynomial surface fitting algorithm and binary quartic polynomial surface fitting algorithm. The subpixel displacement is obtained by using iterative algorithm in above three algorithms. In order to compare and analyze the performance of the three iterative correlation coefficient surface fitting algorithms, the accuracy and efficiency of the three algorithms were compared by using real speckle images. The results show that the solving accuracy and efficiency of the three algorithms from high to low in turn are the binary cubic polynomial surface fitting algorithm,Lagrange correlation coefficient surface fitting algorithm, the binary quartic polynomial correlation coefficient surface fitting algorithm.