This thesis analyzes the arguments concerning the abolition of nuclear weapons, specifically the feasibility and desirability of nuclear disarmament. Past attempts at nuclear disarmament and relevant international treaties and legal opinions also are discussed. The nuclear disarmament movement has grown considerably since the end of the Cold War. As the idea of abolishing nuclear weapons gains influence, it may have an increasing impact upon national security policy. Abolitionists argue that nuclear disarmament is both desirable and feasible. This thesis concludes that nuclear disarmament is not feasible and that abolitionist arguments for the desirability of nuclear disarmament are flawed. States will continue to maintain nuclear arsenals for the foreseeable future. It would be unwise and dangerous for the United States to pursue a policy of nuclear disarmament in the near term.