During the 1972 Olympics held in Munich, Burleson unwittingly walked into a parking lot where the Israeli hostages were brought before they were removed by helicopter from the Olympic village and later massacred. Burleson was held at gunpoint against a wall by one of the terrorists, and told not to move or look at the hostages as they came through the parking lot. He is the last athlete who had any contact with the Israeli Olympians 45 minutes before they died.