"This morning Amal and George welcomed Ella and Alexander Clooney into their lives. Ella, Alexander and Amal are all healthy, happy and doing fine," the couple said in a statement to CNN.
Ellen DeGeneres congratulates George, Amal Clooney in a hilarious way
The Clooneys have been married for two and a half years, after tying the knot in Venice, Italy, in 2014.
The 56-year-old actor has talked about becoming a first-time dad and also joked about waiting to start a family later in life.
WOAH! George Clooney and wife Amal to spend over ONE MILLION DOLLAR on their TWINS DELIVERY!
"My favorite part is, you know, all my friends who are my age, and I have many of them, they're already done. Their kids are all grown up and away to college and they are laughing," Clooney said on the French TV show "Rencontres de Cinema."