Australian comedian Celeste Barber accepts Jacinda Ardern's invitation to New Zealand

An Australian comedian has joyfully accepted Prime Minister Jacinda Ardern's "personal challenge" to visit New Zealand.

Celeste Barber co-starred in an advert with Clarke Gayford last year after having made headlines for jokingly asking Ardern to become Australia's leader amid the country's bushfire crisis.

It turns out the affection is mutual.

During an interview on Australia's The Today Show on Wednesday, Ardern said: "I'm running a personal campaign on a couple of people - I personally challenge Celeste Barber to get over here and come and visit us, so we'll see how I go on that."

Barber responded quickly via her Instagram account.

In a video with "I'm on my way!" printed in text on the screen, Barber says: "Challenge accepted!"

"I'm totally going to New Zealand. Hi Jacinda! You better believe this scrunchie is coming with me," Barber said, pointing to a hair accessory she was wearing.

She then dances and sings: "I'm friends with prime ministers", before sternly adding: "Only the good ones."

Ardern also faced a light-hearted grilling about what took so long to get the trans-Tasman bubble up and running during the interview on The Today Show.

Quarantine-free travel between the two countries will commence on April 19, it was announced on Tuesday.