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The emergency disaster event occur suddenly and need support urgently, the time request of the military logistics is urgent. As the transportation system is influenced by uncertain factors, its military logistics system has obvious grey characteristic. This article has built one new grey critical path model using the grey system theory by uniting the standard grey number and the operational rule with the classic critical path-method. Through the research, we see this model can differentiate the heterogeneity critical path and efficiently, increase the precision of confirming critical path, it is benefit to optimize the resources disposition. Through the case study, the paper verified the effectiveness of this model, and enhanced the validity of critical path-method choosing base on indefinite information.