Abstract: A new algorithm of solving integer linear programming is introduced in which the coefficients of the objective function are rational. This algorithm is called the modelling algorithm. In this algorithm, first of all, it can transform (ILP) into a special programming, then solve the special programming using a kind of special algorithm. The basic ideas of the algorithm is due to concentrating of the brance-bound and the cutting-plane, but it decreases the number of the branch and simplifies the technique of the cutting-plane.