The Defence Force has launched an investigation into inflammatory comments allegedly made by current and former soldiers on Facebook about the recent Muslim protest in Sydney.

One Facebook page contains references to using machine guns and a sniper rifle on those who took part in the riot.

Defence Force Chief David Hurley says he does not agree with the comments and is promising swift action against any serving members of the ADF who have taken part.

"We don't agree with those sort of comments being made," General Hurley told reporters in Canberra.

"The Chief of Army... has made it very, very clear that we will track down and find out if those members are currently serving members, and if they're currently serving members they'll be appropriately dealt with."

The ABC understands some of the soldiers are linked to the Townsville-based Royal Australia Regiment.

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These were some of the comments left on the page:

At least 20 people added that they liked what was being said.

And on the day of the Sydney protests, these comments were left:

Some of the men making the comments have photos of themselves in uniform, including one person who has a variety of pictures of himself holding different machine guns.

Another of the men appears in a helicopter pilot's uniform.

A simple search reveals photos of them on the Australian Defence Force's public website or in Townsville media either during or after serving in Afghanistan.

Several Muslim organisations, including the Islamic Council of New South Wales, have received links to the Facebook page.

The council's chairman, Khaled Sukkarieh, says he hopes the Facebook comments are just rants.

"We would be very concerned if former or current personnel of the ADF held such views, especially if they have served in Muslim countries or are serving in Muslim countries such as Iraq or Afghanistan," he said.

"We would hope that these comments are just the ignorant rantings of a very small minority and not indicative of a big Islamophobic issue in the ADF."

Conduct

The Australia Defence Association told AM in a statement that if these men are serving members of the ADF they will have breached regulations about the responsible use of social media.

It says a second rule could have also been breached which is one of common sense, saying: "You don't make the diggers' life on the frontline harder by making stupid comments."

In a statement to AM, the Defence Department says it was not aware of the Facebook page in question but it is now looking into it.

Defence Minister Stephen Smith says he has not seen the comments, but says ADF members need to act appropriately on social media sites.

"What they do with modern digital media runs the risk of what they think is private becoming public, and they've got to conduct themselves accordingly," he said.

"They represent a uniform and represent the nation, so their comments have to be appropriate and their comments have to reflect the modern Australia, and the modern Australia is an Australia which says we are sensitive, sensible and tolerant about the different make up of Australia.

"We've got a well-deserved and hard-fought for reputation and we don't want that sullied by stupid actions of a minority."