Economic integration and unification of the market within the European Union accelerates the convergence of income, and thus other variables that depend on income, such as government expenditures for health care. Existing literature did not provide reliable evidence of the presence of convergence in terms of government expenditure on health care in the EU-27. In this paper a model was formed for the calculation of beta convergence in government expenditure on health care per capita and in the share government expenditure on health care in GDP in the period from 2000 to 2019 in the EU-27. Previous research indicates an increase and heterogeneity within the state spending on health care per inhabitant and in GDP at the EU-27 level. The research results indicate a negative and statistically significant beta coefficient in both indicators, which indicates the presence of conditional convergence in the observed period at the EU-27 level. Beta convergence in government spending on health in GDP is present and statistically significant in both observed periods but it slows down after the World Financial Crisis. Structural factors significantly influence the convergent trends in the average growth rates of government spending on healthcare in both indicators, the most significant being population growth and the savings rate in GDP. The reason for the slowdown of the conditional beta convergence in the observed indicator after the financial crisis can be attributed to the impact of the debt crisis, regional differences, uncoordinated national fiscal policies in the context of public spending on health and differences in the sources of funding for health spending within the EU-27. Policy makers should jointly focus their efforts on the protection of health systems from procyclical fluctuations and the improvement of the mobilization of public revenues for health in the context of the efficiency of the health system and fiscal sustainability.