The little girl, named Sophia, was born on Tuesday night and weighed 5lb 12oz. It hasn't been revealed whether Jude was at the birth or has seen the baby.
But a friend of Samantha's told People.com: "I doubt Jude was there. Besides the financial support, he's not involved."
Samantha's representative told the website: "Samantha Burke is overwhelmed with joy at the arrival of her beautiful and healthy baby girl, Sophia. The baby and mom are doing wonderful."
Jolly good. That's nice. And I expect that's the last we'll hear of Samantha and Sophia. Or perhaps not...
It surely won't be long before the model and, er, aspiring actress, and her little one are splashed all over the magazines and tabloids.
Samantha, 24, has apparently been weighing up £200,000 deals to spill the beans on her brief romance with Jude and sell pictures of the baby.
It has been reported that an interview and photoshoot has been set up for October. Bet Jude's looking forward to that.
Samantha met the actor while he was filming Guy Ritchie's Sherlock Holmes in New York last year.
Jude only publicly acknowledged the child was his a couple of months ago, and reportedly did not remember the model after their fling.
However he has pledged to be a "fully supportive part" of the child's life.
But it has also been reported that he has demanded a DNA test for the baby girl.
Jude already has three other children with his ex-wife Sadie Frost. He's currently appearing in a Broadway production of Hamlet, now in previews.
Source: AOL News