Living conditions for children and young people are of great interest. In previous investigations, differences in sickness among social groups have been found. WHO plans to reduce differences in health conditions among groups within the countries by at least 25%. In this article, attention is drawn to inequalities in health among children in Denmark. Parameters such as the risk of stillbirth, congenital malformations and death during the first year of life do not differ between social groups. Where the less harsh data are concerned, inequalities still exist between social groups, also among Danish children. In relation to the goals set by WHO, it is important to be aware that the existing ways of measurement may not be sufficient.