In the international combat against terrorism, several legal instruments are considered. The author starts with a review of the various conventions and resolutions concerning terrorism. Despite all efforts, however, the international community has not been able to adopt a satisfactory definition of terrorism. Consequently, the extradition of terrorists still appears to be the most effective instrument available. The author discusses the conditions that must be fulfilled before extradition is granted, the grounds on which a state can assume jurisdiction over individuals, as well as specific reasons to refuse a request for extradition. Among these exceptions to extradition, the principle that political offenders will not be extradited plays an important role.