The two boys, who do not have names yet - but do give your suggestions in the comments! - were delivered by cesarean section prematurely and are healthy, according to St. Mary's Medical Center in West Palm Beach, Florida.
The former Eurovision winner checked into the hospital last week as a precaution "to prevent the early delivery of her babies," the hospital said. Her doctors had wanted Dion to remain there at least until the first week of November, when she would be 37 weeks along in her pregnancy.
The couple already has a 9-year-old son, Rene-Charles.
Celine Dion, unknown at that time, won the 1988 Eurovision Song Contest representing Switzerland with the song Ne Partez Pas Sans Moi. Her opening of the 1989 contest, performing Where Does My Heart Beat Now, kicked off her European carreer.