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The paper proposes a method of hierarchical QoS routing based on reservation of network resources. It describes the case of organization of distributed source routing when one of the border routers consistently solves two interconnected network tasks: calculation of the required routes and determination of the allocation order of link resource to be reserved in order to meet end-to-end QoS-requirements for the packet rate and the average packet delay. It has been found that the method provides iterative calculation of the desired control variables; the number of such iterations depended on the network structure, amount of available network resources, the number of flows and their requirements for QoS level.