Published Sunday, 18 August 2013
Jett Riviera was born last week eight weeks premature and was delivered via Caesarean section after Price developed a dangerous infection while on holiday abroad.
The 35-year-old and her husband Kieran Hayler are currently waiting to take the baby home as he remains under doctors' care.
Price, previously known as Jordan, released a statement via her Twitter account on Sunday, which reads: "Many thanks for all your kind words of support and congratulations. Kieran and myself are so happy with our baby Jett. We look forward to coming home when allowed and introducing him to our families."
Price is already mum to Junior, eight and six-year-old Princess from her marriage to Australian singer Peter Andre. She is also mum to Harvey, 11, from a previous relationship.