The article analyzes the approaches of G. Bush-senior and B. Clinton administrations to the problem of nuclear disarmament of Ukraine in the period of 1992–1996. The author studies the features of the negotiation process in the context of the goals and objectives of the United States. Based on an analysis of the texts of agreements, American and Ukrainian policy documents, expert assessments and memoirs of statesmen, the author comes to the conclusion that the nuclear disarmament of Ukraine was one of the key issues of both administrations during the indicated period.