The Greens will consider pushing for law changes to expel independent senator Fraser Anning who has been branded a disgrace for blaming the Islamic community for the Christchurch mosque massacre.

The federal government and Labor will move a censure motion condemning the Queensland senator's comments when parliament resumes next month, but Greens leader Richard Di Natale wants the parliament to do more.

"We are exploring all options, including amending section 8 of the Privileges Act to allow members of parliament to be expelled by their fellow MPs," Senator Di Natale told News Corp.

Home Affairs minister Peter Dutton said the Australian public will send a message to Senator Anning at the ballot box.

“His comments were appalling. Everybody rightly has called them out,” Mr Dutton told the Today show.

“Anybody who seeks to make opportunity, political opportunity out of it, a tragedy like this, is right to be condemned But in our process, at the election, people can be voted out and that's what they'll do in relation to Senator Anning. And we've got an election due in May of this year.”

Queensland senator Pauline Hanson will abstain from voting to censure her former One Nation party colleague Fraser Anning because it won't "prove a damn thing".

In a fiery face-off on morning television with fellow crossbencher Derryn Hinch, party leader Senator Hanson downplayed her past connection to Senator Anning, who now sits as an independent.

"For you to say that is absolutely disgusting," she told Seven when asked if she had picked Senator Anning to run for One Nation because of his white supremacist views.

"No, I didn't pick him because of that."

Senator Hanson kicked him out of the party on his first day when he refused to step aside and allow Mr Roberts to return.

TIMELINE OF TERROR: Christchurch mosque shooting

Senator Anning will hold a press conference in Brisbane this morning.

New Zealand Prime Minister Jacinda Ardern yesterday condemned Senator Anning's comments following the Christchurch massacre as a "disgrace".

Ms Ardern was speaking at a press conference, two days after a gunman, allegedly an Australian man from Grafton, opened fire at two mosques, killing 50 people and injuring dozens more .

Australian politicians have condemned the comments and a change.org petition calling for Mr Anning's expulsion from parliament has amassed over a million signatures.

New Zealand Prime Minister Jacinda Ardern fronts the media. (Nine)

Jacinda Arden embraces a grieving woman. (Supplied)

Prime Minister Scott Morrison on Saturday announced the government will censure Senator Anning over his comments about the mosque shootings in New Zealand.

He also said he wants Senator Anning to face "the full force of the law" over the comments.

Mr Morrison said there had been discussions between Senators Mathias Cormann and Penny Wong about a bipartisan motion when Parliament returns in April.

"These comments are appalling and they're ugly and they have no place in Australia. In the Australian Parliament also. And he should be, frankly, ashamed of himself" he said yesterday.

Queensland Senator Fraser Anning. (AAP)

Prime Minister Scott Morrison yesterday announced the government will censure Senator Anning over his comments about the mosque shootings in New Zealand.

Today he said he wants Senator Anning to face "the full force of the law" over the comments.

Mr Morrison said there had been discussions between Senators Mathias Cormann and Penny Wong about a bipartisan motion when Parliament returns in April.

"These comments are appalling and they're ugly and they have no place in Australia. In the Australian Parliament also. And he should be, frankly, ashamed of himself" he said yesterday.

Mr Morrison earlier hit out at the independent senator's comments in a tweet on Friday.

"The remarks by Senator Fraser Anning blaming the murderous attacks by a violent, right-wing, extremist terrorist in New Zealand on immigration are disgusting. These views have no place in Australia, let alone in the Australian Parliament."

People wait outside a mosque in central Christchurch, New Zealand. (AP)

Opposition leader Bill Shorten voiced his anger at the comments.

"While families in Christchurch mourn for loved ones they've lost, an obscure Australian senator saw this act of terrorism and tragedy as an opportunity to blame the murder victims," he tweeted

He told reporters today that Labor would support a parliamentary censure motion of "rogue" Queensland senator Fraser Anning following comments widely condemned as anti-Islamic.

Speaking at the Islamic Council of Victoria and supported by fellow MPs Mark Dreyfus, Peter Khalil, Maria Vambakinou and Tim Watts, Mr Shorten said most Australians stood in solidarity with the Islamic community.

"There are...millions of Australians who feel solidarity with you today," he said during his speech in Melbourne, adding he was in a room full of people who were "first and foremost" Australians.

"It was an Australian who did this, but this is not an Australian who represents Australia.

"Now is the time to repudiate once and for all not just the violence, but the circumstances, the hate speech, that fuels the violence."

Earlier, shadow foreign affairs minister Penny Wong condemned Mr Anning's comments as "shameful and pathetic" and said she was " worried by the rise in extremist views".

Brothers Yama and Omar Nabi, whose father was killed in the attack, pictured outside the Christchurch District Court this morning. (AAP) (AAP)

Labor frontbencher Tony Burke also condemned the comments from Anning, blaming the Islamic community for the New Zealand mosque shooting, as "hate speech" and "horrific and sick".

Mr Burke told the ABC "the normalisation of bigotry is something that is not only confined to him".

"We need to call it out, we need to make sure that no way any member of parliament fosters it. He wants the conflict and he wants the notoriety," he said on Saturday.

Senator Anning came to the Senate in late 2017 as a replacement for One Nation's Malcolm Roberts after he was found to have been a dual citizen and therefore ineligible for election.

While Senator Anning ran on the One Nation ticket at the 2016 poll, he quit the party minutes before being sworn in after falling out with leader Pauline Hanson.

He was roundly condemned after invoking the phrase "final solution" in his first speech to parliament - a reference to the Holocaust - and again after attending a far-right rally in Melbourne where participants made Nazi salutes.

Meanwhile, A 17-year-old boy was arrested after allegedly throwing an egg at Senator Anning at a speaking event at Moorabbin in Melbourne on Saturday.

Footage from the incident shows a young man smashing an egg on the Senator’s head. Anning appears to retaliate before his media manager pulls him away.

A group of Mr Anning's supporters can be seen tackling the teen to the ground, placing him in a headlock and pining him to the floor.

(9news)

Journalists can be seen appealing with the men to let the teenager to his feet, before far-right wing activist Neil Erikson - who was involved in the gang tackle - starts shouting at organisers to remove reporters from the venue.

“Police arrested a 17-year-old male from Hampton after he allegedly threw an egg at a 69-year-old Brisbane man at an address in Moorabbin this afternoon during a planned meeting,” Victoria Police said in a statement.

The 17-year-old has been released without charge.

On social media today the teen released a short video in which he said: "Don't egg politicians, you get tackled by thirty bogans at the same time, I learnt the hard way."