Hub network design is an important issue in strategic planning and long-term decision making that faces many uncertainties such as demand, costs, and system reliability. The rise of natural and unnatural disasters will influence the hub's facilities efficiency and cause many obvious and hidden costs on the system. In this study, we assumed each hub maybe sometimes be unavailable. To satisfy the demand of nodes assigned to that hub, we proposed a single backup approach and multiple backup approaches with the possibility of a direct link between nodes. In a real case, hub's facilities have constraint capacity, and under disaster conditions, transferring hub flows are unavailable and led to an increased density of other hubs. Thus, there is no possibility of transfer flow to backup hub beyond their capacity after occurring a disaster in this stud