Selecting a construction project is relatively complex as it involves multi-criteria decision-making (MCDM). To solve this problem, this study used the fuzzy Delphi method to identify six key factors of influence on selection outcomes and established evaluation criteria based on these factors. After employing analytic network process (ANP) to identify relationships between the objective, the evaluation criteria and the candidate projects, this study developed a decision-making model to resolve the difficulty of selecting an optimum construction project and conducted weighted analysis of the candidate projects using the quantitative procedures of ANP. Lastly, an empirical case study was used to verify the proposed method. The results of this study show that ANP can be used to build an effective decision-making model capable of analyzing candidate construction projects and selecting the optimal one.