The first decade of the 21st century was a time when an intensified process of emigration of the citizens of the European Union from the poorer countries of Central and Eastern Europe to the richer countries of Western Europe could be observed, which was possible thanks to the successive enlargements of the Union in 2004, 2007 and 2013. So far, migration and problems associated with it have not brought their claim to the forefront of the EU forum. The situation began to change with a more and more lively ongoing debate about the adverse demographic trends in Europe and the wave of immigrants, mainly from Africa. Given the problems that the EU will have to face, I consider it worthwhile to take on the problem of migration in the context of the European employment policy. Bearing in mind the global economic and financial crisis which caused a reorientation of priorities of the EU strategy on employment, it can be assumed that the current immigration crisis will be even more fraught with consequences. It seems that the EU faces yet another big challenge. The question of whether and how it will cope with it remains open.