The intercultural competence of students in the context of the value approach helps to harmonize the psychological climate in the ingtergroup throughout the entire period of study, which helps to improve the academic performance of students and prevents interethnic conflicts both in online and digital forms. Modern education in higher educational institutions, the leadership of which was forced to largely revise the principles of interaction between students and teachers due to the introduced self-isolation regime and lockdown measures during the Covid-19 pandemic around the world, today includes contact and distant forms of communication, implemented through online and offline formats. At the same time, an increase in the number of situations in which it is necessary to interact in writing and orally is due to the introduction of social networks and instant messengers into the educational process, in which intercultural competence allows expressing one's thoughts more correctly and better understanding the foreign recipient. Tasks: (1) identify the main predictors of misunderstanding that may arise in the process of intercultural communication; (2) identify the factors contributing to the establishment of intercultural communication; (3) analyze the specifics of intercultural communication in digital and offline formats. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.