Shock jock Alan Jones has gone on the attack against New Zealand Prime Minister Jacinda Ardern for a second day after she brushed off his comments that Prime Minister Scott Morrison should "shove a sock down her throat" following her criticism of Australia on climate change.

Jones made his widely condemned comment on 2GB radio on Thursday morning after Ms Ardern warned at the Pacific Island Forum in Tuvalu that Australia "will have to answer to the Pacific" on climate change.

Alan Jones tells Scott Morrison to 'shove a sock down throat' of Jacinda Ardern. Credit:AAP

Speaking to reporters at the forum on Thursday night, Ms Ardern declined to weigh into the debate over Jones' tirade.

"I don't know that I'm going to give that the light of day, that comment. I think I'll just leave it where it is," she said.