The delivery took place Saturday morning at Cedars-Sinai Medical Center in West Hollywood, according to several sources.
As RadarOnline.com previously reported, Kanye skipped his own listening party Friday night because Kim had gone to the hospital
The birth came weeks before the Keeping Up with the Kardashians star's July 4 due date, but she reportedly became ill yesterday and it was decided to deliver the baby early.
That was just hours after -- as RadarOnline.com reported - the very pregnant reality queen tweeted out several images of herself from her sexy swimsuit days. It was Throwback Thursday and Kim seemed to want to pay homage to her former body.
New dad Kanye was there at Cedars for the delivery but don't expect him to go blabbing about his daughter anytime soon.
"I just don't want to talk to America about my family. Like, this is my baby. This isn't America's baby," he told The New York Times .
Fortunately we can report that mother and daughter are said to both being doing well.