Abstract: There are so many methods for the problem of integer programming (IP); however, available methods connected with theoryofgroups are still given little consideration. This paper, in orderto predigest the process of solving the IP problem, attempts to divide the IP problem into a series of simple models by using the decomposing theoremof limited groups—significant both in theory and in practice. Based on the translation and loosing operation of IP problem, the steps of transformation and decomposition to the group programming model are discussed in detail, and solutions to two decomposition results are also discussed.