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Analytic Hierarchy Process (AHP) is applied in this paper to rank obsolescence issues of high priority for nuclear power plants. At first, phenomena of obsolescence issues in nuclear power plants and characteristic of AHP is introduced in this paper; then it is explained and explored to apply AHP to solve the problem. Finally, an application is exampled using weighted sum model and weighted product model as well as AHP to solve the problem. The difference is compared and analyzed to reflect the plant’s concern. Using analytic hierarchy process to rank obsolescence issues for nuclear power plants provides interesting perspective and important support for the decision to select the issues that applied resource is allocated.