A smiling Kate carried the future monarch outside St. Mary's Hospital in central London so he could be photographed by the dozens of international press members waiting outside (see the photo gallery).
The photos are likely to be reprinted for decades as the baby grows into adulthood and his role as a future king. His name has not yet been announced; that's expected in the next few days.
Kate, who said she felt "very emotional," passed the baby to her husband, who appeared relaxed and joked with reporters.
"He's got her looks, thankfully," William said. "He's got a good pair of lungs on him, that's for sure."
William added: "He's a big boy, he's quite heavy," and laughed when a reporter asked him about the baby's hair.
"He's got way more than me, thank God," he said.
The couple re-entered the hospital to place the child in a car seat before re-emerging to get into an SUV. William drove the couple away -- palace officials said they will head to an apartment in Kensington Palace from the hospital.
The young family's first public appearance together has been the moment that the world's media and crowds of onlookers camped outside the hospital had long been waiting for. It recalls a similar appearance three decades ago, when Princess Diana and Prince Charles carried the newborn William out to pose for photographs on the same steps in 1982.
Earlier, grandparents Prince Charles, his wife, Camilla, and Michael and Carole Middleton -- Kate's parents -- were the first relatives to visit the young family at the hospital.
Charles called the baby "marvelous," while a beaming Carole Middleton described the infant as "absolutely beautiful."
The couple's Kensington Palace office said Kate, the Duchess of Cambridge, gave birth to the 8-pound, 6-ounce boy at 4:24 p.m. Monday.
The news was greeted with shrieks of joy and excited applause by hundreds of Britons and tourists gathered outside the hospital and Buckingham Palace.
Revelers staged impromptu parties at both locations, and large crowds crushed against the palace gates to try to catch a glimpse -- and a photograph -- of the golden easel placed there to formally announce the birth. Hundreds were still lining up outside the palace gates Tuesday to get near the ornate easel.
In London, gun salutes were fired, celebratory lights came on, and bells chimed at Westminster Abbey, where William and Kate wed in a lavish ceremony that drew millions of television viewers worldwide.
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