This is Price's first child with third husband Kieran Hayler. She was rushed to the hospital after complication arose during her vacation in Europe.
"We've been through a nightmare, but it's made me and Kieran so much stronger and we can't wait to have another baby," thesun.co.uk quoted Price as saying.
Their new born son, Jett Riviera, had five weeks premature delivery after his heartbeat dropped dangerously.
But it was the anticipation of having her child next to her that gave strength to Price during delivery.
"The only thing that had got me through the nightmare was the thought of cradling my little boy. But he was only put near my face for seconds. I was really upset. I felt like punching someone," she said.
Price has 11-year-old son Harvey from her relationship with former football player Dwight Yorke. She also has son Junior, eight, and daughter Princess Tiaamii, six, with ex-husband Peter Andre.