This article examines the concept of «anxiety» as an urgent psychological problem among students. The paper presents the results of a study of reactive (situational) and personal anxiety in students of different areas of training, and their relationship with indicators of self-esteem a social intelligence. In the course of the research, testing was carried out among 93 respondents aged 16 to 22 years. As a result of studies of the level of anxiety (methodology of Ch.D. Spielberger, adaptation of Yu.L. Khanin), it was revealed that there is no positive correlation between the level of anxiety and indicators of self-esteem and social intelligence in this category of students.