The British glamour model - real name Katie Price - delivered the tot at 8.49am on Friday morning via Caesarean section at London's Portland Hospital.
The baby weighed in at a healthy 6lb 13ozs, and both mother and daughter are said to be doing well.
A spokesperson for Jordan and proud dad Peter Andre said: "Peter and Katie are happy to announce the birth of their first daughter.
"They are absolutely over the moon with the new addition to their family and delighted to have a sister for Harvey and Junior - it is a dream come true!
"Both Katie and the baby are healthy and happy, and will be spending the next few days resting in hospital."
The couple - who knew they were having a girl - are yet to name their new arrival, although Jordan recently denied reports she was planning to call her daughter Crystal.
She said: "I can guarantee I am not calling her Crystal! I haven't thought of any names yet." The 29-year-old star also vowed she would not give her daughter an unusual name like so many other celebrities, including Gwyneth Paltrow who named her child Apple and Sir Bob Geldof who called his daughter Peaches.
She said: "I won't be calling her an unusual name like Apple, Peaches or Carrot!"