The offence of hostage-taking has become a pressing international problem by virtue of the fact that through the danger it poses, its forms of manifestation and the effects it produces, goes beyond the domestic law of a country and poses a threat to the entire international community. Hostage-taking, as a self-standing international offence, was mentioned for the first time at the International Convention Against Hostage-taking, adopted by the UN General Assembly in New York on December 17, 1979, and preceded by several international documents relating to other similar facts. As an incentive for the drafting and adoption of that convention, the extremist organization “Black September” may consider the tragic case of the taking of athletes as hostages during the Olympic Games period (20th edition) in Munich, Germany, on September 05, 1972, where 16 people died, including 11 athletes.