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Grid Computing has emerged as an important field by its focus on resource sharing. It provides highly scalable, strict secure and high performance. Many of the parallel applications submitted to grid environment may benefit from the allocation of multiple resources such as processors in multiple sites simultaneously. This Processor Co-allocation potentially leads to higher system utilizations and lower queue wait times by allowing parallel jobs to run when they need more processors than are available in a single cluster. However with processor co-allocation advanced processor reservation is needed. But this becomes one of the challenges in processor co-allocation. The aim of this paper is to provide advance reservation of jobs based on the priority.