The European Union (EU) was founded in 1957 in order to prevent new wars in the Continent. Over time, many institutions and instruments have been introduced for defi ning and implementing common policies concerning economics, society and politics. All these innovations have contributed to generating the “European people”, beyond the single national peoples, with common institutions and cultural heritage. In fact, each people is also a population, describable in terms of demographic structure as well as in terms of natural and migratory dynamics. Therefore, it is reasonable to ask if, over time, all the national populations of the EU tend to converge towards a European population, with a common demographic profi le. Here, a statistical method is proposed for measuring the demographic convergence of the populations of the EU towards a common pattern. Keyword: demographic convergence, European populations, multiple variability.