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One of the key challenges of a globalized world could be the problem of poverty. On the basis of comparisons and descriptions, we can observe and demonstrate links (more or less obvious) between poverty and globalization phenomena, including mass influxes of migrants and refugees, but also trafficking in human beings, arms, drugs and international and local terrorism. Despite the fact that today we can assume that poverty affects only developing countries, according to Eurostat statistics, one-quarter of European Union citizens are at risk of poverty or social exclusion. The European Platform against Poverty and Social Exclusion, which is one of the seven Europe 2020 flagship initiatives for smart, sustainable and inklusive growth, is also illustrated by the importance of European poverty. Although "European poverty" is only relative and cannot be compared to the poverty of the global format, it can be seen as a brake on social development with the consequences of social exclusion of individuals. The imaginary scissors among the rich and the poor are constantly opening up. There are many indicators of poverty measurement, one way of assessing income levels in relation to Average income in a given country. People who receive income below this threshold are considered socially necessary. Another option is measurement through revenue and consumption. The paper deals mainly with the analysis and comparison of the development of selected indicators of poverty in EU countries, modeling and clustering according to these indicators.