Melbourne's Al-Furqan Islamic Centre, which was attended by three men charged with terrorism-related offences this week, has announced it is closing its doors.

In a statement on its website, the centre said it had come under a lot of pressure following the charges.

"This statement is to announce that, effective immediately, Al-Furqan Islamic Centre is ceasing its activities and closing its doors," the statement read.

"This decision has not been taken lightly.

"We believe that given the constant harassment, pressure and false accusations levelled against the centre – particularly by media and politicians – this is the best course of action for the protection of the local community, its members, and the broader Muslim community that is often implicated in these insidious campaigns."

The centre, in Springvale South, has come under renewed scrutiny after Sevdet Besim and Harun Causevic, both 18, were charged with conspiring to commit a terrorist act over an alleged plot to attack Anzac Day commemorations.

A third 18-year-old man was charged on summons on weapons offences over the alleged plot.

Police said the three men, as well as two others who were released pending further inquiries, had links to the controversial Melbourne Islamic centre.

"Al-Furqan and a number of other centres around Australia have come to our attention," Victoria Police Assistant Commissioner Steve Fontana said on Tuesday.

"It's more about some of the individuals who are opening up or trying to influence these young people, they are the people of real concern.

"[The people] who have probably got those extreme views and are trying to recruit and engage others in activity."

Police said today that they would not comment on whether Al-Furqan was currently under investigation.

Al-Furqan was also attended by Abdul Numan Haidar, who was shot dead after stabbing two police officers in Endeavour Hills last year.

After the shooting, the group said it was not involved with the attack on police that led to Haider's death.

"Al Furqan would like to emphasise that both its centre and its president, Harun Mehicevic, are in no way involved or connected to this incident," the Al-Furqan Islamic Information Centre said in a statement.

Muslim community 'failed' to engage Al-Furqan

Islamic Council of Victoria secretary Ghaith Krayem said he believed the Islamic community had failed to engage the group.

Mr Krayem said he would have a conversation with Al-Furqan's leader Mr Mehicevic today.

"Our aim with this particular centre is to try to include them in what we're doing," Mr Krayem told 774 ABC Melbourne.

"I think as a community, we've probably failed in this respect historically, we've tended to marginalise and push people like this away.

"Whereas clearly our focus now is to try to bring them into what we're doing ... everybody needs a role model, and I think we've failed in that regard with some of these people ourselves."

Mr Krayem said he understood the three men charged this week had not only attended the Al-Furqan Islamic Centre.

"I think it is important to just remember that even with the recent individuals who had come to attention, my understanding is that they haven't frequented Al-Furqan for a lot, they've been sort of hopping around between Al-Furqan and a couple of more mainstream mosques," he said.

He said the challenge for the Islamic community was to connect with isolated young men, and they had failed to do that.

"The role that we need to play is to ... make sure that they're not just sitting behind closed doors somewhere, that we're engaging with them in a way that allows them and us to really understand what is going through their minds at a particular time and provide support for those people who really need support.

"In all honesty, I think we didn't do enough with this cohort after the Endeavour Hills incident, we didn't do enough to engage the people around that young man [Numan Haidar] and make sure that they were ok and they weren't going through some difficulties."