The traditional analytic hierarchy process (AHP), fuzzy evaluation method and the Delphi method of group decision-making are organically combined and a new method of system analysis called Fuzzy Delphi Analytic Hierarchy Process (FDAHP) is proposed. Based on the Delphi survey of the group decision-making information, the group’s pairwise judgment of objects is fuzzily processed, and the results of the group’s overall judgment are used as decision-making environmental parameters. Furthermore, the group’s comprehensive weight of objects is determined according to the optimistic coefficient of group decision-making consideration. A simple example is given to illustrate the specific implementation steps and feasibility of the method. Finally, the advantages and disadvantages of the method are briefly discussed, and the possible research topics in the future are proposed.