Student Council at Delphi is a large, active, student-run organization with several levels of membership. There are both an Upper and Middle School Student Council. In the Upper School Student Council, the key administrative officers are juniors and seniors. Upper School Student Council members known as Dorm Captains are responsible for making sure the dorms are run well and maintained in good condition. Other officers on Student Council take on a variety of activities around the campus.

All on-campus weekend activities are managed by members of Student Council in coordination with the Director of Student Affairs, including setting up, cleaning up and actually running the activities. Other jobs in Student Council include fund-raising for particular projects for the school.

Student Council is an integral part of Delphi's Upper School program. By participating in Student Council, students learn leadership skills and develop a large sense of responsibility for their group. Student Council offers students a slice of the real world where they can practice and apply what they are learning every day.