"The birth of a baby is such an incredibly exciting time.
"We wish them all the best, and very much look forward to seeing them all in New Zealand somewhere down the track.
"In line with their request we have not sent a gift, but the Government is marking the birth with donations to two New Zealand child-centred charities.
"We will be making a donation of $1000 to Little Sprouts, which gives packs of baby and children items to families in need.
"We are also donating 10 trees to Trees for Kiwi Babies, for native tree planting events during Matariki 2019. These donations will celebrate all New Zealand babies, as well as the new Royal baby.
"I hope New Zealanders think those are suitable gifts on their behalf in recognition of the new baby," she added.
The royals' newborn is yet to be named, but bookies are putting their weight behind three traditional names including James, Edward and Arthur as the likely options.
However, the pair are forward-thinking royals and may decide to surprise everyone when naming their first child. Canadian-born Autumn Phillips, and husband Peter Phillips, opted for a non-traditional name for their daughter Savannah - the Queen's first great-grandchild - in 2010.
In the US, the most popular name is Liam for a baby boy. In the UK, the most popular name for a boy is Oliver.
Harry and Meghan's child, who will be seventh in line to the throne, is extremely unlikely ever to be king, meaning the couple have more freedom with their choices.
In comparison, the Duke and Duchess of Cambridge chose to give their children traditional names, picking George for their firstborn, who is likely to one day be king.