This study investigates the relationship between creative personality composition, innovative team climate, and team innovation based on an input-process-output model. We measured personality with the Creative Person Profile, team climate with the Team Climate Inventory, and team innovation through team-member and supervisor reports of team innovativeness. The personality composition in each of 29 teams in a television production company was operationalized by mean scores for each creative personality variable, as well as the combination of different creative personality variables within a team. The team climate variable “vision” mediated the relationship between the mean level of associative orientation in teams and team innovation. The team climate variable “support of innovation” mediated the relationship between the joint variables of mean level of ambition x mean level of motivation and team innovation. The results indicated that when there are relationships between creative personality composition and team innovativeness, they are mediated by an innovative team climate.