For some forty years, we have seen that the way to become parents has changed; besides the “classical family”, i.e. a heterosexual married couple and their children, there are now a number of different family configurations, the most recent being that of homoparental families. However, although the latter constitute a new part of the evolutionary chain, they mark a major change, inasmuch as these parents cannot present themselves as their children’s genitors. What questions are raised by both the continuity and the change involved? These families are looking for recognition; and why, though it is granted by some countries, is it so difficult to receive it in France?