He initially worked at the Ecole Normale Supérieure, and was later a teacher of Latin poetry at the Collège de France.
In 1817 he became a member of the Académie des inscriptions et belles-lettres, where in 1852 he was appointed "secrétaire perpétuel".
Naudet was also a member of the Académie des sciences morales et politiques and served as curator of the Bibliothèque Mazarine.
Among his written works was a three-volume edition of the comedies of Plautus titled- M. Accii Plauti Comoediae (1830)[1] and a work on Roman nobility called De la noblesse chez les Romains (1868).
He also edited and translated works by Catullus, Horace, Lucan, Sallust, Seneca and Tacitus.