The analysis of American experience of higher education transnationalization, as well as influence of these processes on various spheres of social development has been done. The main factor is the desire to improve the quality of higher education national system, which leads to positive competition between local and foreign universities and serves as an important incentive for improving the quality of educational services. The obtained results testify that over the past decades the higher education transnationalization has become a subject of state "soft power" policy aimed at addressing specific internal political, social and financial problems. The "soft power" policy concept (by J. Nye) defines it as the ability of a country to get the desired issue by self-attractiveness rather than conquest power or money. The key of "soft power" is the image of the state, which is formed and managed not only by the government, but the citizens themselves, the country as a whole, including its history, achievements, culture, etc. The study leads to the conclusion that higher education transnationalization in the United States is a result of active international marketing activities of universities, as well as targeted state economic, political and information support. The prognostic potential of the conducted scientific research enables the concept development of Ukrainian higher education integration into the world educational space on the basis of constructive ideas of foreign experience consideration at the state and institutional levels.