A beaming Meghan Markle looked remarkably unfatigued by a 22-hour flight as she walked out of Sydney's airport with Prince Harry on Monday for a rest day before they officially start a 16-day tour of Australia and the South Pacific.
"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", it said.
It is the couple's first official royal tour since getting married in May, the BBC reported.
According to Kensington Palace, who tweeted the exciting news on October 15, Meghan is due to give birth in the UK's spring.
Harry and Meghan - along with Prince William and his wife, Kate, the Duchess of Cambridge - have stepped to the fore in the past year as Queen Elizabeth II, 92, slightly reduces her public schedule.
"Embraced": Meghan Markle and Prince Harry with her mother, Doria Ragland, (left) at the launch of the cookbook.
Harry, the son of heir-to-the-throne Prince Charles and his late first wife Princess Diana, and Meghan, former star of TV show "Suits", married in a glittering ceremony at the queen's Windsor Castle home, west of London, five months ago which attracted huge interest worldwide.More news: Astronauts make emergency landing after Soyuz rocket failure
Harry, 33, and Meghan, 37, have been invited by the governments of Australia and New Zealand, members of the Commonwealth. "Wishing them all the best", she wrote.
The main focus for the trip, however, is the Invictus Games. The sporting event, founded by Harry in 2014, gives sick and injured military personnel and veterans the opportunity to compete in sports such as wheelchair basketball.
The Queen and the Duke of Edinburgh, the Prince of Wales and the Duchess of Cornwall and the Duke and Duchess of Cambridge are "delighted" for the couple, who they congratulated at the wedding of Princess Eugenie and Jack Brooksbank on Friday.
The announcement came after the pair arrived in Sydney for the start of their first official royal tour.
A visit to Fraser Island will highlight the importance of sustainable tourism.
Hundreds of well-wishers gathered with umbrellas outside the airport and Admiralty House in the hope of catching a glimpse of Harry and Meghan.
Harry and Meghan had not made a secret of their desire to have a child.