Effective decision-making process is the basis for successfully solving any engineering problem. Many decisions taken in the construction projects differ in their nature due to the complex nature of the construction projects. One of the most crucial decisions that might result in numerous issues over the course of a construction project is the selection of the contractor. This study aims to use the ordinal priority approach (OPA) for the contractor selection process in the construction industry. The proposed model involves two computer programs; the first of these will be used to evaluate the decision-makers/experts in the construction projects, while the second will be used to formulate the OPA mathematical model. The experts’ interview was used to identify the criteria of evaluation process of the decision-makers/experts, while Delphi survey with principal component analysis (PCA) was conducted to identify the required selection criteria of the construction projects contractors. The results illustrate that there are 20 criteria for selecting the construction contractor, and 7 criteria for evaluating the decision-makers/experts in the construction projects. Finally, the proposed model has been applied in a real construction project, and showed good results.