But ahead of the motion, New Zealand's outspoken deputy and currently acting PM, Winston Peters, had some criticisms of his own.
"I could call him a four-flushing, jingoistic moron, but you already know that in Australia," Peters told Sky News.
"He is a national, absolute, democratic aberration. We all know why he's there. He's there by pure accident. It means you have to clean up your political system to avoid that sort of person making it into politics."
Earlier asked about Anning's remarks, New Zealand Prime Minister Jacinda Ardern called them "a disgrace".
Anning has stood by his statements and has called the censure a "blatant attack on free speech".
New Zealand's parliament, meanwhile, is expected on Tuesday to nearly unanimously agree on a first vote on stricter gun laws proposed in response to the shootings that killed 50.