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Grid resource management is a core component of the grid. This paper analyzes the characteristics of the grid, and designed a Hierarchical Resource Management Framework for data resource in grid(HRMF-G). For the characteristics of the grid and the existing shortage of hierarchical resource management, we improved, respectively, the resource management domain model by Wang Hong et al, the multi-level resource schedule model by Zeren Zhima et al and the general resource manager by Klaus Krauter et al. And then applies them to the HRMF-G.