Measuring convergence of expenditures on health care provides information about the degree and change of similarities of countries in the case giving financial resources for health care. Thus, the aim of this paper is reviewing and analysing expenditures on health care and the study of trends in the social convergence in selected European Union countries. Studies use error correction model, -convergence and β- absolute convergence as those which are well established in the macroeconomic analysis of economic growth. In these analysis exogenous variables was GDP as the main determinant of those expenditures which is the determinant of the size of the economy. If GDP is calculated per capita in any country that testifies to the welfare of society. Although usually the increase of economic integration facilitates means economic growth, it does not mean EU enlargement would give an automatic homogenization of health care expenditures in it.