The 37 Military Hospital was established in July 1941 during the Second World War. In 2003 the Hospital Board of Directors found the need to set up the School of Anaesthesia in response to the shortage of  anaesthetists within the Medical Service of the Ghana Armed Forces. Currently, the School of Anaesthesia has taken on a wider role in training personnel for other health institutions and facilities since it is not a typical military course.
The first intake started training on 15th June, 2004 with a total of eight students from the Military Hospital.