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The grid security focuses on implementation of safe access for resource of different domains in dynamic grid environment. Trust as an important factor in grid security is increasingly applied to management of security. But the research of application with trust to access control is rare and coarse. In this paper, we propose the concept of trust degree which is the measurement of trust and combine it with access control framework. A fine-granularity access control model has been realized in a single domain and the trust degree based access control framework accomplishes the work to access resource across multi-domains. Conversion between domains is correct and effective. Simulation results present that the access control model is practicable and credible.