In dynamic networks, links and nodes will be deleted or added regularly. It is very essential for the routing scheme to have the ability of fault-tolerance.The method to achieve such a goal is to generate more than one path for a given set of source and destination. In this paper, the idea of interval routing is used to construct a new scheme (Multi-Node Label Interval Routing scheme, or MNLIR scheme) to realize fault-tolerance. Interval routing is a space-efficient routing method for networks, but the method is static and determinative, and it cannot realize faulttolerance. In MNLIR scheme some nodes will have more than one label, thus some pairs of destination and source will have more than one path; the pairs of nodes,which have inheritance relation, will have the shortest path. Using this character,MNLIR scheme has better overall routing performance than the former interval routing scheme, which can be proven by simulations. The common problem concing the insertion and deletion of nodes and links is considered in this paper. So if the networks have some changes in topology, MNLIR scheme may find altative path for certain pairs of nodes. In this way, fault-tolerance can be realized with only a little space added to store the multi-node labels.