Independent Senator Jacqui Lambie has suggested police track the movements of Australia's Grand Mufti with an "electronic device" following inflammatory comments he made about the Paris terrorist attacks.

The Australian National Imams Council (ANIC) has moved to clarify comments made by Grand Mufti Ibrahim Abu Mohammed in a statement on Sunday, just one day after multiple deadly attacks in the French capital.

The original statement expressed "deepest condolences" at the loss of life but also spoke of "causative factors" such as racism and Islamophobia that should be addressed.

It triggered an angry rebuke from a number of Federal Ministers, as well as Independent Senator Jacqui Lambie.

She called for greater security screening of the 12,000 Syrian refugees Australia will soon be accepting.

"No one's talked putting security, electronic bracelets on them, nobody's gone that far, I think it's about time we put our foot down here," she said.

Senator Lambie said Dr Mohammed should also be closely watched.

"(Dr Mohammed) is not helping the situation."

"Maybe the first person that should have an electronic device put them is the bloody Grand Mufti," Senator Lambie said.

"We'll be able monitor what is going on and where they're going," Senator Lambie said.

Australia's Imams Council released a further statement on Wednesday, denying Dr Mohammed had sought to justify the attacks.

"We wish to emphasise it is incorrect to imply that the reference to causative factors provides justification for these acts of terrorism."

"There is no justification for the taking of innocent lives."

"Dr Ibrahim Abu Mohammed and ANIC have consistently and unequivocally condemned all forms of terrorist violence."

Industry Minister Christopher Pyne welcomed the clarification.

"I'm glad that the Grand Mufti has made that statement today, and that should be the end of the matter," Mr Pyne told reporters in Adelaide.

Other Ministers had earlier criticised Dr Mohammed, including Treasurer Scott Morrison, who said he was "very disappointed" with the Grand Mufti.

"And I think Australians Muslims would have been disappointed in those comments, certainly those who I have close relationships with were and I really urge him to listen to his own community on this and to reflect their views," Mr Morrison told Macquarie Radio on Tuesday.

Senator Lambie's comments have been criticised by Labor's Workplace Relations spokesman Brendan O'Connor.

"I don't think that's particularly helpful."

"I think it's important that people restrain themselves from making comments in areas of expertise that they may not have," Mr O'Connor said.