Abstract: Computational efficiency of the recursion of eccentricity funtions is investigated, and a kind of batch recursion method is given. Its computational efficiency is significantly superior to the direct calculation method. Moreover, this kind of batch recursion is forward so that the magnitudes of eccentricity funtions experience from small to large change in the recursive process. Hence in this way the high accuracy of the recursion of eccentricity funtions can be guaranteed.