Psychological well-being of students is an area of concern in higher education institutes across the world. Although several studies have explored the factors associated with students’ psychological well-being, limited research has focused on the relation between the overall support for students and psychological well-being. Students of higher education may get formal support, in the form of team environment and institutional support; and informal support, in the form of family and friends’ support. The purpose of this study is to examine the relation of these four kinds of support with psychological well-being of management students. We also examine the intervening role of academic engagement in this relationship. Analysis using structural equation modeling and hierarchical regression on data collected from 309 management students from Indian universities, shows that positive internal team environment, and institutional and family support positively relate to students’ psychological well-being. Academic engagement partially mediates the relation between positive internal team environment and psychological well-being, and family support and psychological well-being. Also, academic engagement fully mediates the relation between institutional support and psychological well-being. The study highlights the significance of internal team environment and institutional support for students’ academic engagement and psychological well-being, and the role of academic engagement in determining well-being. Based on these findings, we suggest interventions that can be undertaken by educational institutions to enhance psychological well-being of students. Theoretical implications and research avenues are discussed.