"The Duchess and baby are both healthy and well, and the couple thank members of the public for their shared excitement and support during this very special time in their lives."
The statement finished by promising that "more details will be shared in the forthcoming days."
An hour before announcing the birth, the palace revealed Meghan had gone into labour, saying that the Duchess went into labour in the early hours of the morning with Prince Harry by her side.
Following the happy news, the new dad stepped out to thank the public for their support and confirm the couple is "absolutely thrilled" and that mother and baby are doing "incredibly well".
Speaking to CNN, Harry said, the child had been "a little overdue" and that the parents planned to make another announcement in two days' time "so everyone can see the baby".
"It's been the most amazing experience I could ever have possibly imagined," he added, saying, "How any woman does what they do is beyond comprehension."
The couple announced they were expecting on the first night of their Royal Tour of Australia with a press release via Kensington Palace's Twitter page.
"Their Royal Highnesses The Duke and Duchess of Sussex are very pleased to announce that The Duchess of Sussex is expecting a baby in the Spring of 2019," an announcement said. “Their Royal Highnesses have appreciated all of the support they have received from people around the world since their wedding in May and are delighted to be able to share this happy news with the public.”
The couple later revealed their due date was at the end of April, but did not give specific details.
Harry and Meghan began dating in July 2016 after meeting on a blind date. The couple announced their engagement in November 2017.
“Of course,” Harry said when asked about baby plans during an interview with the BBC after the pair announced their engagement. “You know, one step at a time. Hopefully we’ll start a family in the near future.”
Harry and Meghan wed at St. George's Chapel in Windsor in May 2018.
However, like Kate, Meghan will be expected to come out of maternity leave to attend important royal events. Kate made appearances at Harry and Meghan's wedding and the Queen's birthday during her maternity leave following the birth of Prince Louis.
In the weeks leading up to the birth, it was reported the Duchess of Sussex would break a royal tradition and not give birth at London's Lindo Wing or St Mary's Hospital, but rather opt for a maternity ward closer to her home in Windsor. It was believed Meghan had chosen Frimley Park Hospital. It was also widely reported that Meghan might opt for a home birth.
Harry and Meghan, just days prior to announcing the baby's arrival, announced that they intended to keep the details around Baby Sussex's birth private.
“The Duke and Duchess of Sussex are very grateful for the goodwill they have received from people throughout the United Kingdom and around the world as they prepare to welcome their baby,” a statement from Buckingham Palace read. “Their Royal Highnesses have taken a personal decision to keep the plans around the arrival of their baby private. The Duke and Duchess look forward to sharing the exciting news with everyone once they have had an opportunity to celebrate privately as a new family.”
That means Markle, in a break from recent royal tradition, will not pose for photos after delivery, and will instead host a “photo call” at Windsor Castle a few days after the birth, People reports. Markle and Prince Harry could also break from tradition a bit when they name their baby, according to royals experts, since the child will be the seventh heir to the throne.
Congratulations to the new parents!