Bruni-Sarkozy, 43, delivered at approximately 8 p.m. local time at the Clinque de la Muett.
This is their first child together, and the first child born to a ruling French leader since Napoleon. Bruni-Sarkozy, who married the French leader in February 2008, confirmed she was expecting in July.
The singer, actress and former model has one son from a previous marriage. Sarkozy, 56, has three children from two previous marriages.