Currently, technological advances and developments are leading to the rapid emergence of high-end technology products, accompanied by a variety of customer requirements, which will lead to engineering system design projects becoming more complex. Therefore, complex engineering design projects require designers with multidisciplinary backgrounds who can work together and approach complex problems. However, when company supervisors assign designers with interdisciplinary knowledge to complex projects, the knowledge gap of each discipline between designers will cause communication conflicts, which directly affects the efficiency of team communication and complex project execution. Therefore, it is very important for the design company to select a portfolio of designers with efficient interdisciplinary background communication. Thus, the main objective of our research is to propose a method to support company supervisors and their approach to the design team selection problem for complex engineering system design projects with consideration of the project’s required basic technical competence, personal competence, and multidisciplinary knowledge communication between the designers. The proposed method can help design firms to select the best multidisciplinary collaborative design team for complex engineering system design projects.