The supercouple welcomed a son and a daughter Saturday evening at the seaside Fondation Lenval in Nice, the actress' obstetrician tells E! News.
Twins Knox Leon and Vivienne Marcheline were delivered via cesarean section about 6 p.m. local time.
"Brad and Angelina are extremely happy and everything went perfectly," Dr. Michel Sussmann tells E! News. "Both of the babies are adorable and in excellent health and everyone's content and getting some much deserved rest.
"[Brad, Angelina and the twins] are all tired but very, very happy."