"Guys, I'm sorry – we need to give another round of applause to Jacinda Ardern," Lorde said after the pair hugged.
"I am so happy to have such an articulate, exciting, young, beautiful leader in our country.
"I can't believe you're at the New Zealand Music Awards, this is like a big deal for music."
In response, Ardern said she was a "mutual fangirl" and said that presenting Lorde with the award was a "big deal".
In early 2018, responding to news that Lorde had not been asked to perform at the Grammys, Ardern said it was "their loss" and that the singer/songwriter was "fantastic and such an amazing live performer".
"We should all be proud that she is there."
In an Instagram post this week, Lorde hinted that a third album was on the way.
She thanked her fans and said she felt like she had grown a lot since her last album, Melodrama, came out two years ago.
"Feels like I've grown a lot since then, I've been to Antarctica, I have a dog now and a cat and I can bake bread and cook dinner and keep plants alive.
"It's a good life you've given me. Thank you, thank you. Third one in the oven."