Besson was married from 1983–2009 to Sylvie Brunel, a geographer and writer and former president of Action Against Hunger, with whom he has three children.
Besson menikah pada 1983–2009 dengan Sylvie Brunel, seorang geografer dan penulis, mantan presiden Aksi Melawan Kelaparan dan mereka memiliki tiga anak.