It was located at the School of Mines building (which houses Brookman Hall — named for benefactor George Brookman) on the corner of North Terrace and Frome Road, now part of the City East campus of the University of South Australia. The school population outgrew the campus, so in 1964 it was relocated to its current location in Glenunga, and was renamed Glenunga High School in 1974. It adopted its current name upon the introduction of the International Baccalaureate Diploma Programme in 1990–91 with the aid of The Honourable Greg Crafter, a development which was instigated to help save the school from closure due to dwindling student numbers. With enrolments rising, GIHS has subsequently attracted substantial government funding and construction projects, most notably the technology and science wing extensions, a new administration block, and a performing arts centre; since 2005 there have been various additional changes to the facilities, such as extra rooms.