We present a new multiple ring network for multiprocessors, called the multistage ring network (MRN). The MRN has a 2-level hierarchy of register insertion rings, and its interconnection of global rings forms a type of the multistage network. The architecture of the MRN is effective at diffusing the global traffic to all global rings and the bandwidth of the network increases proportionally with increases in the system size. At the same time, the MRN retains the economic design and high speed communication advantages of the ring network. We develop a deadlock-free routing algorithm for the MRN. We also present a performance analysis of the MRN and compare the results with those of a hierarchical ring network.