In 2015, the Institute for Economics and Peace, in its Global Terrorism Index stated that Boko Haram terrorists in Nigeria have become the deadliest terrorist organization in the world. The Nigerian government is alleged to have, applied measures that violate both international humanitarian law and human rights principles. This has sparked criticism from the international community. Some international bodies continue to call for the Nigerian government to prosecute some members of its security forces for war crimes and crimes against humanity. This paper, therefore, attempts to examine: 1) the armed-conflict between Nigeria and Boko Haram: 2) rights available to Boko Haram suspects: and 3) the obligation to enforce accountability owed by parties to the International human right standard. To examine the claims of violations and the circumstances under which they could be derogated, this paper also discusses the applicable law. Cases of violations, regulating law guaranteeing rights recognized by international bodies in cases of armed conflict, and the role of regional and international bodies in ensuring compliance with regulating conventions will also be discussed.