This paper is concerned with the response by the legal regime of International as well as Municipal Law to the malady of terrorism and in what ways the regime of law can contribute to improve world peace and security. It is quite clear that terrorism has acquired a global and pernicious reputation. Significant among remedies proffered that may grant relief to humanity from the scourge of terrorism is the utility of the legal framework on Anti â€“ terrorism as panacea to this global crisis. This work therefore undertakes a critical exegesis of the framework of laws related to terrorism. In several countries including the US, Australia, United Kingdom and others, in addition to the legal Anti-terrorism initiative by the United Nations Security Council and the African Union, there are specific laws against terrorism. This work looks at the imperative of strengthening the legal framework of Anti â€“ terrorism globally. The methodology of analytical criticism is adopted for the purpose of this study. The work concludes with recommendations including the imperatives for strengthening of the institutional framework of law against terrorism as panacea for world peace.