Islamic leaders say right-wing extremists are behind an offensive act of intimidation at a Brisbane mosque, where a teenager was called a terrorist and Islam a cult.

A group of men went to the Kuraby Mosque on Wednesday and abused and threatened worshippers after asking to be let inside to film what was going on, The Islamic Council of Queensland said.

"They started saying Islam is a cult and they started going through the books," council spokesman Ali Kadri said, while calling the men uncivilised animals.

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He said the men threatened a 65-year-old man and told a 15-year-old boy, "you don't belong in this country, you bloody terrorist, and we should burn this place down to the ground".

Another mosque at Darra was also targeted on Wednesday, but the group didn't get past the closed front gate.

The incident follows the arrest of 21-year-old Za'id Abdus Samad on terrorism charges during a raid on a Kuraby home on Saturday, but the council says Samad didn't attend the Kuraby centre and does not believe the events are linked.

Religious leaders will meet on Thursday night to discuss what Mr Kadri says is the routine abuse Queensland Muslims suffer because of their faith.

"Our community is terrorised by these people," he added.

Mr Kadri says what happened at Kuraby wasn't unusual and there appeared to be a group of people going into mosques with the intention of baiting worshippers and then capturing any angry responses on camera.

"If you ever want to talk about Islam do it in a civilised manner. Don't be an uncivilised animal and go in and abuse children and old men and threaten children and old men."

Worshippers turned their cameras phones on the men who went to the mosque, capturing a portly man in a suit and tie badgering the teenage boy, referring to Islam as a cult and asking him if the marriage between the prophet Mohammed and his wife Ayesha amounted to paedophilia. The vision has been seen by AAP.

Police were called to the mosque and have taken at least one statement. AAP has sought additional comment from police.

Mr Kadri said police had what they needed to pursue the matter.

He said authorities must take the intimidation campaign seriously and said existing laws don't offer enough protection for victims of religious hatred.

Premier Annastacia Palaszczuk has urged people to exercise tolerance and respect.

"When people go to worship, and whether that is a church or any place of worship, people should be respectful of people's faith and religions in this state," she told reporters.

She said what happened at the Kuraby mosque was concerning, but she believed existing laws did afford the right level of protection in such instances.