Summary: Throughout this paper, we consider that \(R\) is a near-ring [G. Pilz, Near-rings. The theory and its applications. Rev. ed. North-Holland Mathematics Studies 23. Amsterdam - New York - Oxford: North-Holland Publishing Company (1983; Zbl 0521.16028)] and \((G,+)\) is a group. We begin by introducing the basic concepts of substructures in near-rings, and then using some right substructures in near-rings, we may define the right direct sum in near-rings. Next, we investigate that every near-ring can be decomposed with right direct sum of right ideal and right \(R\)-subgroup, and then give some examples and get some properties.