As luck would have it, the couple welcomed a little boy, Alexander and a little girl, Ella.
The new parents released an official statement, "This morning Amal and George welcomed Ella and Alexander Clooney into their lives. Ella, Alexander and Amal are all healthy, happy and doing fine. George is sedated and should recover in a few days."
With celebrity baby names being all the buzz, here are 12 other celebrities who thought Alexander and Ella were perfect names too!