The arrival of the couple's first child Archie was shrouded in secrecy, with newspaper reports indicating the 37-year-old former US actress had wanted a home birth at their residence in Windsor, west of London.
However, the certificate confirmed the place of birth, in the early hours of May 6, as the Portland Hospital in central London, the Press Association news agency said.
The document listed the baby's full name as Archie Harrison Mountbatten-Windsor. It also detailed Meghan's occupation as "Princess of the United Kingdom".
The Portland facility claims to be the only private hospital in Britain dedicated to the healthcare of women and children, offering "world-class" maternity care.
The Duke and Duchess of Sussex broke with recent royal tradition in the choice.
Harry's brother Prince William and his wife Kate had all three of their children delivered at St Mary's Hospital in London, where the princes themselves were born.
Meghan also bucked modern precedent by keeping events around the birth and her recovery largely private.
Buckingham Palace announced the arrival of the seventh in line to the throne -- an eighth great-grandchild for Queen Elizabeth II and her husband Prince Philip -- some nine hours after the event.
Although Harry made a brief solo appearance before television cameras to share his joy, it was two days before he and Meghan showed off their son to the world.
This also contrasted with William and Kate, who on each occasion appeared before the cameras hours after the arrival of their newborn.
Photo : A handout photograph released by The Duke and Duchess of Sussex on May 8 shows Britain's Prince Harry, Duke of Sussex (L), and his wife Meghan, Duchess of Sussex (R), accompanied by Meghan's mother Doria Ragland, showing their newborn baby son, Archie Harrison Mountbatten-Windsor to Britain's Queen Elizabeth II (C) and Britain's Prince Philip, Duke of Edinburgh (L), at Windsor Castle in Windsor, west of London on May 8. (Photo by CHRIS ALLERTON / SUSSEXROYAL / DUKE AND DUCHESS OF SUSSEX / AFP)