Economic inequality is associated with the notions of income distribution and population poverty. Inequality in income distribution can increase society's poverty. The distribution of income and poverty represents the differences between incomes within a country and determines the degree of quality of life. Represent the relationships between people who earn enough for basic human needs and people who meet basic needs have the opportunity to invest the rest of their income. The problem is evident in the differences between rich and poor people. Namely, those present reduced the gap between rich and poor so as not to achieve large social disparities so as not to increase the economic inequality of society. Therefore, the paper establishes a link between inequality, poverty and income distribution. States have revealed a balance in income distribution as they have reduced inequality and poverty of the population. It is necessary to emphasize that in addition to economic inequality, poverty should be positively affected, the risk of poverty and other criteria that defined poverty rates in the Republic of Croatia and the European Union should be stopped. In order to determine how the Republic of Croatia stands in relation to other countries in terms of poverty indicators, statistical analyzes were applied that established poverty rates in the Republic of Croatia with the rest of the European Union. Considering the problem of economic inequalities and poverty, the Republic of Croatia, together with the European Union, has developed a strategy to solve the stated problems.