Sharing details, Gordon, 57, said the child is a '7lbs 10oz whopper'.
Gordon clearly revealed from his Instagram post that Jesse is going to be his last child.
He wrote: "What an amazing birthday present please welcome Jesse James Ramsay, 7lbs 10oz whopper!! One more bundle of love to the Ramsay brigade!! 3 boys, 3 girls…. Done."
Gordon shared several pictures of the mother and child on his social media page.
Cookery book author Tana, 49, married Gordon in 1996.
The couple are already parents to Megan, the eldest, who is now in her mid-20s; twins Jack and Holly, Matilda "Tilly" and Oscar, reported BBC.