Many countries with multi-ethnicity and multiculturalism structure of the population, face today the problem of interethnic negativism. It aroused as a result of globalisation change. Besides, it causes an increase in social tension and leads to an increase in inter-ethnic and inter-ethnic conflicts. The article presents the data of sociological surveys in the Russian Federation and the results of studies in foreign countries, confirming the relevance and depth of the problem of ethnic and cultural contradictions. The authors consider the causes of inter-ethnic negativity and intolerance. The paper examines various approaches to the integration of the multi-ethnic population, the assimilation model and the model of recognition of differences-multiculturalism, and their shortcomings. The authors suggest developing a new model able to weaken ethnic negativity and form a culture of interethnic communication.