The federal government is considering another wave of national security laws which could ban a range of groups that "nurture extremism" such as Hizb ut-Tahrir.
Previous governments have allowed Hizb ut-Tahrir to continue its activities, despite concerns the group promotes some of the views of extremists such as Islamic State.
But to date intelligence agencies have never recommended the group be banned.
Prime Minister Tony Abbott has on several occasions publicly accused Hizb ut-Tahrir of being "un-Australian" and inciting terrorism.
He told the National Press Club on Monday he was considering new laws.
"If cracking down on Hizb ut-Tahrir and others who nurture extremism in our suburbs means further legislation, we will bring it on," he said.
"And I will demand that the Labor Party call it for Australia."
A spokesman for Mr Abbott said advice was being sought from intelligence agencies on options for taking action against Hizb-ut-Tahrir.
Parliament has passed laws making it an offence to advocate terrorism and making it easier to ban terrorist organisations.
Foreign Minister Julie Bishop said the government was determined to expose terrorism and list terrorist organisations where there was evidence to do so.
Labor leader Bill Shorten said he would consider the new laws when they were finalised.
Two weeks ago, Hizb ut-Tahrir helped organise a peaceful rally in Sydney's west in protest over negative coverage of Islam and treatment of the Prophet Mohammed.
In October last year, the organisation hosted an event at which the guest speaker advocated a "new world order" united under a global caliphate governed by Islamic law.
The group describes itself on its website as a political party aimed at "bringing Muslims back to living an Islamic way of life".
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