"They are absolutely delighted they have a daughter," Bonham Carter's representative, Karon Maskill, said. "It's a lovely Christmas present for the family."
There is no official word on the baby girl's name as of yet.
UPDATE: A few sources have said that the baby will be named Indiana Rose Burton. Confusion about the validity of the name is understandable, as it has been reported that Burton and Bonham Carter did not want to know the gender of the child until it was born.