Globalization prompted the emergence of global business, which is mainly associated with the process of transnationalization, which requires appropriate adaptation of the global economy. In the context of the relevance of the issue of globalization influence, the authors research methodology consists in identifying the prerequisites and substantiation of possible approaches to the adaptation of individual states and regions of the world to the intensification of globalization influence, its manifestations, the determination of priorities of state policy in the context of the transnationalization of the world economy, taking into account the protection of national interests, the interests of all participants of the global market. The purpose of the authors study is to form the authors' position on the essence of globalization processes, their manifestations, their impact on the development of individual countries and regions of the world, the justification of approaches to adaptation to the process of transnationalization of the world economy with the aim of preventing negative trends, leveling risks, ensuring national security of individual states, political, socio-economic, cultural, mental and environmental factors, prioritizing rovedenii long-term state policy based on national interests and the protection of the global market. The consequences of globalization processes, the influence of economies of states and regions of the world, changes in the mentality of the population are determined. The essence of the process of transnationalization, strengthening the influence of international monopolies and the peculiarities of the activities of transnational associations are determined. The influence of the process of transnationalization on the development of the world economy is generalized, advantages and disadvantages in the development of the world economy under the influence of globalization tendencies are determined. The main directions of activity of transnational business are formed, taking into account the interests of participants. The priority of investment opportunities of global business is determined. The main tendencies in dissemination of the influence of the process of transnationalization of the world economy and the consequences in guaranteeing the national security of the countries of the world, individual regions of the world are investigated. It is proved that the policy of the worlds states in a globalized environment should have a long-term character and provide the implementation of a set of measures to protect the interests of the national economy, including the increasing influence of the process of transnationalization, the formation of a single global market, which provides appropriate adaptation to change.