In a crisis situation people can behave differently. The difference in behavior in crisis situations is caused not only by individual characteristics of people, but also by cultural and national differences in various countries. But a special place among cultural differences is occupied by the issue of trust. Depending on the field of knowledge different definitions of trust are used. In this article we understand trust as a subjective personal attitude to others. Fukuyama also studied trust issues in the cultural-historical context and developed trust models in different countries. Trust is an important component in any culture. E. Meyer says that culture is the fundamental aspect in the cross-cultural interaction of people, not the personal characteristics of the individual. E. Meyer to describe cultural differences in different countries uses a model of cross-cultural interaction, in which one of the criteria is trust. The level of trust in the society is one of the ways to overcome the crisis effectively. The crisis situation develops and consists of stages from birth to attenuation. In the example of COVID-19 - in crisis situations the same measures taken by governments of different countries may have different consequences. But when there is trust, these measures can be most effective.