In Grid service, resource management is important to support capability for good quality and efficiency for the computing and storage service. In order to provide this resource management which has low complexity, high performance and high throughput with guaranteeing QoS, the well defined network resource management architecture and scheme have to be considered. Thus, we propose the integrated grid resource management architecture based on QoSconstraint policy and we derive cost-sensitivity policy enforcement procedure which can be applied to this architecture in Grid over GMPLS (Generalize Multi- Protocol Label Switch) network. Finally, the results show that the proposed scheme outperforms the conventional scheme in the network performance such as a blocking rate of resource request messages and the operation cost.