In modern science, along with the “classic” and “non-classical” approach to solving fundamental and applied problems, there is an actively developing “postnonclassical” research paradigm. This renovation of general scientific methodology has been accompanied by the emergence of new experimental technologies and new scientific research directions based on them. “Social psychophysiology” is one such direction. It is formed within the frame of postnonclassical methodology at the intersection of neuroscience and psychology. This work is devoted to the analytical review of the methods, achievements and prospects of contemporary social neuroscience and social psychophysiology studying brain structures that are specifically related to the implementation of social forms of behavior and intercultural communication. Physiological studies of brain activity during social interaction processes, which are simulated using virtual reality environments, are analyzed, and the physiological approach to the study of the brain mechanisms associated with social perception, social cognition and social behavior is used. Along with the analysis of psychophysiological studies of the mechanisms of social perception and social cognition, we discuss the theories of “Brain Reading” and “Theory of Mind” and the underlying data concerning “Gnostic neurons recognition of persons and recognition of emotional facial expressions”, “mirror neurons”, “emotional resonance” and “cognitive resonance”. Particular emphasis is placed on the discussion of a fundamentally new trend in the study of the relationship between the brain and culture (i.e., “cultural neuroscience”). Related to this connection, the following topics are raised: physiological mechanisms protecting the “individual distance” in communication between members of a personified community, psychophysiological approaches to the study of cross-cultural differences, physiological mechanisms of social classification (particularly the formation of attitudes toward representatives of various social groups and toward the content of socially oriented information), and psychophysiological approaches to the study of processes of social classification in the field of intercultural relations (racial perception, stereotypes and prejudices).