In modern linguistics, the issue of values has become especially acute. The value system was considered in the context of family discourse. The purpose of this article was to consider family discourse characteristics and the connection of the family discourse with the resilience theory. It defined the lingua-axiological aspect through language, national values, and communication. One hundred sixty-seven participants from Kazakhstan took part in an online survey, representing their attitude to family values. The findings revealed that family support, understanding, love, parental agreements, and having a child were rated higher than other values. Decisions were made by both parents or collectively. Participants’ answers portrayed family values as different from traditional family discourse. The study clarified the importance of family values, parents’ roles, family traditions, and methods of teaching family values. The research findings demonstrated that the narrative organization of family communication distinguishes the main signs of the lingua-axiological aspect in family discourse.