Collaborative design in dispersed groups of engineers creates various kinds of challenges to technology, organization and social environment. This paper presents an approach to description and representation of the competences needed for a planned collaborative design project. The most important competence areas are identified starting from the nature of design work, problem solving in design teams, and working in distributed groups. The competence model is built structuring these areas according to three perspectives: general, cultural, and occupational competences. An ontological representation is proposed to implement the described model for collaborative design competence. Using an ontology language for representation of collaborative design competence models makes it possible to identify those individuals who are best suited for the collaboration by ontology matching. Finally, a software design team consisting of two persons was interviewed and two competence profiles were created using the developed ontological representation of the model. The modeling of the team members has proved that the proposed approach can be applied to modeling competences needed for collaborative design in engineering fields.