The paper examines global terrorism from an international context. Terrorism is the major threat to global peace and security as no states in the global system today is immune from terrorist attack. Terrorism has grave implication for peace, security and socio-economic development. Terrorist related attacks have led to the death of many, destructions of properties and social displacement of people. Common terrorist groups in the global system are; AlQaeda, Boko Haram Bandit, Islamic State of West African Province (ISWAP), Taliban and AlShabaab etc. The rational choice theory was adopted as the theoretical framework. Secondary source of data was deployed; it involves the collection of data from textbooks, journals and seminar papers etc. The study observed that there is a strong links among global terrorist groups such as ISIL, Boko Haram, Bandit, Al-Qaeda, and Al-Shabaab among others. This has made it difficult for terrorism to be totally eradicated from the global system. The study recommends that there is need for global synergy among governments to severe link that exist among global terrorist groups such as ISIL, Al-Qaeda, and Al-Shabaab among others. This will help prevent the transfer of weapons and training given to the group.