The Canadian-born chanteuse, 42, delivered by C-section the fraternal twin boys at St Mary's Medical Center in West Palm Beach, Florida, her representative told the entertainment magazine.
'Celine, (husband) Rene (Angelil) and their son Rene-Charles are thrilled,' her representative was quoted as saying in People's online edition. Rene-Charles is nine.
The pregnancy was the result of Dion's sixth in-vitro fertilisation attempt, according to reports.