There are presented the results of a study of the transformation of social processes in modern society connected with the formation and escalation of destructive manifestations of terrorism in the article. There is reflected the approach to understanding the essence of terrorism based on the authors’ concept of intrapersonal conflict. Initially, authors identify the psychological preconditions for manifestations of terrorism that were based on the results of a cross-cultural monitoring analysis with coverage of more than 1930 respondents. At the second stage, on the empirical sample of more than 300 subjects, authors distinguish a spectrum of qualities that ensure personal confrontation and stabilization in a multicultural field. Psychological security is defined as a condition for ensuring the prevention of terrorism and the formation of a multicultural identity. The issues of prevention and neutralization of terrorist tendencies are considered on the basis of actualization of such mechanisms of personal psychological security’s insurance as harmonization, emotional stability and protective strategies.