The maintenance priority decision is the basis of establishing the maintenance plan and optimizing the effect of maintenance under the condition where the maintenance condition is limited. Based on the comprehensive consideration of economy of maintenance and reliability of operation, the priority decision index set is constructed. The quantitative methods of each indicator are proposed to quantitatively evaluate the maintenance cost and operational risk of maintenance task. On this basis, an index weight determination model based on the correlation between indicators is introduced. Combining index weight determination model with the hesitant fuzzy matrix reflecting the fuzzy opinions of decision makers, it can solve the fuzziness and real-time problem of determination for index weight. Finally, the effectiveness of the proposed method is verified by a comparison of examples. This method can provide decision-making basis for scheduling personnel to reasonably arrange the maintenance plan. This work is supported by National Natural Science Foundation of China (No. 51722701).