Scott Morrison has led a swift and strong repudiation of Queensland Senator Fraser Anning, who linked Muslim immigration to the terror attack carried out at two mosques in New Zealand by suspected far-right extremists.

The Prime Minister tweeted late on Friday night that Senator Anning's comments had no place in Australia and definitely not in the Parliament.

Fraser Anning. Credit:Kenji Wardenclyffe

"The remarks by Senator Fraser Anning blaming the murderous attacks by a violent, right-wing, extremist terrorist in New Zealand on immigration are disgusting," Mr Morrison said, just hours after addressing the media about the massacre which appears to have been carried out by Australian born Brenton Tarrant.

"Those views have no place in Australia, let alone the Australian Parliament."