Prime Minister Jacinda Ardern said the issue of New Zealand becoming a republic is "not on my agenda" after she met with Queen Elizabeth II in London.

Ms Ardern is in England for the Commonwealth Heads Of Government Meeting (CHOGM) and met and exchanged gifts with the Queen overnight, New Zealand time.

She said she believes most New Zealanders don't care about the issue of New Zealand separating from The Commonwealth and that it will not be something she works on.

"I've always been very clear when asked about the issue of New Zealand becoming a republic - this is not on my agenda," Ms Ardern said.

"During the election campaign it did not come up once with a voter ... I've had the media ask me about it, but beyond that I don't think it's an issue New Zealanders are particularly worried about.

"It's something that I think, over time, New Zealanders may consider, but I don't think it will be any time soon.