The combination of total uncertainty and forced self-isolation during the pandemic create a condition for stress reactions, mental and somatic disturbance of a large number of people around the world. Sleep quality has been validated as an indicator of well-being during a pandemic and a predictor of delayed risk. At this article demonstrate the interaction between psychological hardness and risk of insomnia in group of students of Herzen University during the period of remote education connected with COVID-19 pandemic. The hypothesis of the study was the assumption about the influence of hardness on the ability of students to cope with the challenge of complexity, the negative relationship of its characteristics with the index of insomnia and anxiety, as well as positive ones with the characteristics of life-meaning orientations and tolerance to uncertainty. The study show that level of psychological hardness can predict risk of insomnia and feeling of anxiety. The article demonstrate that psychological hardiness is connected with tolerance to the uncertainty. The practical significance is determined by the substantiation of indicators of potential risk and directions of development of resources for coping with the challenge of complexity in the student period. The article shows that resilience is associated with a tolerance for uncertainty.