The article is devoted to the problem of psychological well-being of a personality during the COVID-19 pandemic. The essence of the phenomenon of personality’s psychological well-being and its connection with the social situation and social stress is determined. Subjective severity of the impact of the quarantine on their personal lives and psychological well-being differs between respondents in the first group (72 who rated such impact as high) and the second group (149 people who rated the impact as low). It is impossible to draw unambiguous conclusions about the influence of certain socio-psychological and demographic predictors on the perception of psychological well-being. There is a statistically significant relationship between the subjective high assessment of the impact of the coronavirus situation (first group) and the level of education (almost the same for both groups), which may indicate an indirect effect and requires additional verification. The results of the study show that the respondents of the first and second groups experience the period of the COVID-19 pandemic differently, which in general affects the degree of their psychological well-being. The subjects of the first group have less differentiated expectations about the peculiarities of the pandemic situation in the near future and its impact on their lives; they tend to experience asthenic emotions, depressive states, and use ways to overcome stress based on avoidance and social distraction. This is also manifested in the growth of their anxiety and reduces the level of psychological well-being. The subjects of the second group have more differentiated expectations about the peculiarities of the pandemic situation, tend to analyze the circumstances and develop a specific action plan, not prone to anxiety and depression; use problem-oriented ways to overcome stress, which determines in general their fairly high level of psychological well-being.