In this paper, we analyze the relationship between leadership and performance in teams of higher education students. For this, first, we conceptualize leadership as an influence process between team members and, second, we model this team process using social network analysis. To study the proposed relationship between leadership and performance, we conducted a study at 164 students of 41 teams of industrial engineering students of two universities in Chile. We analyzed our data using linear regression analysis, and our results showed that leadership network density is positively related to performance, and leadership network centrality is negatively related to performance. These results help teachers, and higher education institutions have a reliable statistical tool to track student leadership development throughout the curriculum.