Along with several social institutions, the family has its unique place as the foundation of a strong state. For this reason, family problems are at the center of research in modern psychological science aimed at identifying key factors of health, well-being and a prosperous life in the family. The purpose of this work is to identify the ability of spouses to cope with family difficulties or conflict situations and to study their correspondence to the manifestations of a person's emotional intelligence as a guarantee of satisfaction and family health. At different stages of its development the family very often faces problems, for which the spouses use a conscious toolkit. Emotional intelligence, being one of the fundamental components of personality, influences the choice of a person's coping strategy in conflict situations: Studies have shown that a person's high levels of emotional intelligence (EQ or EI) have a reciprocal relationship with coping, a rational problem-solving orientation. It also leads to personal satisfaction, creating the basis for family well-being and a healthy psychological atmosphere. We can conclude that the higher a person's perception and recognition of his own and others' emotions, emotional states, the easier and faster he distinguishes between his own and others' emotional manifestations and expressions, and of course is able to freely manage them, the more a person is able to show organization when facing various difficulties, the better he can regulate actions, as well as control the current situation. As a result, the person experiences satisfaction with family life.