The purpose of the article is to study the features of the risk management in cross–cultural management. To do this, it is necessary to identify and describe the reasons for the development of cross-cultural management, classify risks and develop recommendations for their management. The methodological basis of the research is the system and process approaches. The author analyzes the concepts of foreign researchers and summarizes the information and analytical materials of foreign consulting agencies. The article starts a discussion whether imposing the monocultural system of norms and values in international business can lead to the rights infringement and hinder preserving the cultural identity of particular socio-cultural and ethno-religious groups and communities.