Relationships between team composition in terms of team members' Big Five personality traits and individual satisfaction with the team after project completion were researched. Questionnaires were filled out by 310 undergraduate students ( N= 68 teams) working on an engineering design assignment. Individual satisfaction with the team was regressed onto individual, dissimilarity, and interaction scores. A positive main effect was found for individual agreeableness and emotional stability and for dissimilarity in conscientiousness. A moderation of the main effect of dissimilarity was found for extraversion: Satisfaction with the team is negatively related to dissimilarity to the other team members only for members low in extraversion.