With the development of modern construction, the scale of construction has been expanding. Construction projects in the construction stage gradually exhibit high risk characteristics, and the complexity and difficulty of project management have increased greatly. Based on the perspective of resilience, this paper carries out an evaluation study of project management systems, taking four projects of building construction projects as cases to analyze the degree of resilience of construction project management systems. The study constructs an evaluation index system for project management that considers four aspects: stability, redundancy, efficiency, and adaptability. The network hierarchy analysis method is again proposed on the basis of the hierarchy analysis method, and the ANP-can-top cloud combination evaluation model applicable to project management is constructed by combining the advantages of the network hierarchy analysis method as well as the topable cloud model. The constructed resilience evaluation index system and evaluation model for project management are applied to the research cases to verify the practicality of the indexes and the rationality of the model. It has been found that stability has the greatest impact on building construction projects. In the reliability analysis of the topable cloud model, it is most reasonable when the number of cloud drops is taken in 1800. Based on the evaluation results, this paper proposes a strategy for improving the toughness level of the project management system, which provides a certain reference significance.