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Reservation in advance provides a solution for the need of reserving the network resource for future. Advance reservation for global grids becomes an important research area as it allows users to gain concurrent access for their applications to be executed in parallel, and guarantees the availability of resources at specified future times. But performance of reservation for grid was seldom considered. In this paper, an adaptive advance reservation is introduced. It can modify not only the parameters of latest request but also that of admitted requests because sometimes the latest request is fixed with parameters. Particular admission control algorithm for this new type of reservation is provided too. Simulation shows that it can improve performance of resource reservation in terms of both call acceptance rate and resource utilization when the percentage of fixed requests is not very high.