The 32-year-old musician confirmed on twitter his girlfriend Edie Langley gave birth to a boy named Eli over the festive period.
He wrote on his twitter page: "Mehreh Christmas one and all. I am the devastatingly proud father of a boy, who's name is Eli. X(sic)"
The Libertines rocker had formerly predicted he would be spending the holidays with his new baby, who was due on Christmas Day (25.12.10).
He said: "How will I spend Christmas? Well, I'm having a baby so I don't know. Maybe we'll end up spending it in a manger. Or a maternity ward.
"She's due around Christmas Day. I'll probably be in a maternity ward, although there's all kinds of Christmas metaphors you can make.
"I've got a plethora of wise men on standby."
Discussing his highlights of 2010, Carl added the baby and the reformation of The Libertines with Pete Doherty were peaks of his year.
He added: "My personal highlight, I guess my baby. Apart from that, The Libertines reunion. But my baby comes first.
"With the Libertines, all those years of doubts and potentially falling through the many vortexes and pitfalls of speculation and conjecture regarding the band, their mythology and their actuality, I think it was withdrawn from any negatives and I felt so happy to be at the centre of something so many people were using as a catalyst for such joy."