Prime Minister Jacinda Ardern's political colleagues have offered the couple their congratulations after the birth of their daughter.
Former Prime Minister Helen Clark called their new arrival a massive breakthrough for women.
Acting Prime Minister Winston Peters led the well wishes from the Government, saying it's a "happy day", along with members of the opposition and those within the Prime Minister's own party, including Finance Minister Grant Robertson.
"I'm really proud of Jacinda, she's my friend first and foremost and it's just so exciting for them, I think they're going to be the most wonderful parents," Mr Robertson said.
"I think it says something great about our country that we're all celebrating together this birth and that once again we're leading the world in showing that anything is possible."
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