The pictures appear in the new issues of People magazine, Hello! in the UK and New Idea in Australia, after what Hello! features editor Juliet Herd calls "a fierce bidding war."
According to People managing editor Larry Hackett, "They're incredibly tender, intimate moments of a mother and father with their newborn--they're not at all glamorous."
The pictures were taken a week after the baby's May 27 birth by the same Getty Images photographer who shot the family in the Namibian desert on April 19.
According to Herd, the couple had "the final decision" over which magazines would get the photos because "they had clear ideas of where they wanted to see the pictures run, to do them justice and to know that the story is being treated with due respect."
Copies of the Hello! cover were leaked online on Tuesday, prompting the magazine's legal team to order the websites to remove the images.
Herd confirms, "It was the real cover, and we don't know how it leaked."
The photos were taken at the Burning Shore hotel in Namibia where the couple has been staying. The photographer has not been identified.
The pictures are so coveted that People is raising its cover price to $3.99, just for the issue.
People paid an estimated $4.1 million for the images, which the celebrity couple are donating to as-yet-unnamed charities.
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