The school was the brainchild of Air Marshal M. S. Chaturvedi who encountered problems trying to get his children admitted to a school in New Delhi while he was posted there with the Air Force. The school was started by the Indian Air Force Educational and Cultural Society, which also runs The Air Force School (Suboroto Park) and Air Force Golden Jubilee Institute, with the aim of educating children of Air Force personnel posted to the National Capital Region. AFBBS made its beginning as a primary school, on 15 July 1955 with 116 pupils and six members of staff. The school was housed in war time barracks. By 1974 it had grown into a fully-fledged senior secondary school offering education to over 3300 pupils. Today, AFBBS functions under the aegis of Indian Air Force Educational and Cultural Society as a recognised, unaided private school. The school is affiliated to the Central Board of Secondary Education, New Delhi, and offers educational facilities under 10+2 scheme of education. In the mid 1990s in an India Today survey the school was listed in the top 10 schools of New Delhi, rising to first in 1995. Various agencies have since ranked it in top 10 or top 15 lists. In October 2005, the school celebrated its golden jubilee with a week-long festival, "Swarnajyoti",with inter-school competitions. In 2007 AFBBS achieved ISO 9001-2000 certification. In 2012 Air Marshal J. N. Burma at the school's annual day stated that as per Indian Air Force computer records, results of the school's pupils are the best in all schools run by the Indian Air Force. The President of India, Shri Ram Nath Kovind graced the 2022 investiture ceremony, and felicitated all the members of the student council.