Migration and refugeeism have become widespread phenomena in the contemporary world. They affect both the migrants’ countries of origin, as well as transit and target countries. The contemporary migrant crisis is becoming a challenge not only for politicians, diplomats and economists, but also for sociologists, demographers and philosophers. It is also a challenge for the Catholic Church because it affects millions of Christians to whose countries migrants and refugees are coming. The purpose of this article is to explain the social teaching of the Church in this regard. It contains examples of statements made by the Second Vatican Council and the Popes: John Paul II, Benedict XVI and Francis.