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This paper presents a new routing algorithm-DoMMRA that applies to a new type of IP router in integrating both the DiffServ and MPLS networks. With DoMMRA, the router can provide a guarantee service for IP QoS and fast forward packets. Moreover, the algorithm can make the resource globally optimal and can be used to smoothen the allocating of different traffic. The congestion that occurs at the local router has been avoided as well as the enhancement of the network transmission's capability. Finally, this paper proves that the algorithm is feasible and preferable to computer simulation.