This article provides a systematic review of research on leadership in international schools, though not focusing on International Baccalaureate schools which are the focus of a separate paper. International schools are autonomous, private bodies that cater to the globally advantaged. Accordingly, this literature review views them and their leadership through the Bourdieusian concept of distinction. Educational leaders in this context face considerable complexities. International schools thrive on the distinction they confer, it being intrinsic to these schools' identity. International schools can be understood as existing on a matrix, or spectrum, between conceptions of international and global; equitable and market-place. The review finds that international schools experience considerable unhelpful change and transition, where consistency is highly prized yet difficult to achieve. Along with tensions between their equitable and market orientation, transition emerges as the most significant challenge facing educational leaders in this context.