Pauline Hanson has called on the prime minister to look seriously into temporarily banning Muslims from migrating to Australia - or, at the very least, more stringent vetting of those wanting to come to the country.

The One Nation leader has written to Malcolm Turnbull, compelled by the recent terrorist attacks in the UK, Europe and Melbourne.

Successive governments had failed to do what was needed to stop the growth and spread of Islamic terrorism, she said.

Pauline Hanson has demanded Australia introduce a Trump-style Muslim ban

The One Nation leader has written to Malcolm Turnbull, compelled by the recent terrorist attacks in the UK, Europe and Melbourne

'If laws need to be changed then so be it; if you need to consider a US style ban, as proposed by United States President Donald Trump, then so be it,' Senator Hanson wrote.

She also wants security forces to be given greater powers to deal with people on terror watch lists before they become violent.

On top of that, she suggests changing the way the Administrative Appeals Tribunal - an independent review body - works and its ability to overturn decisions regarding immigrants and refugees.

'If we continue to turn a blind eye to the radicalisation that is occurring in mosques throughout Australia then, I fear, we will soon see terrorist attacks to the degree that is happening in the United Kingdom and elsewhere around the world,' Senator Hanson said

This comes after Ms Hanson called for wider police powers after a man known to counter-terrorism police shot three police in a siege in Melbourne.

The One Nation leader appeared frustrated Somali-born Yacqub Khayre, 29, was still able to take a woman hostage despite being on a watchlist.

'Seems the Brighton terrorist was known to police. We must empower the police & turn terror watch lists into TERROR STOP LISTS!' she wrote on Twitter.

Pauline Hanson has called on Prime Minister Malcolm Turnbull to look seriously into a Donald Trump-style (pictured) Muslim travel ban

'Seems the Brighton terrorist was known to police. We must empower the police & turn terror watch lists into TERROR STOP LISTS!' she wrote on Twitter

Somali-born Yacqub Khayre, 29, was still able to take a woman hostage despite being on a watchlist

Moments before police stormed the building and shot him dead, the hostage-taker called Channel 7 saying: 'This is for IS, this is for al-Qaeda.'

The gunman was also on parole for a criminal offence and rated as a low-risk figure of interest to counter-terror authorities, according to the Herald Sun.

The anti-immigration senator has frequently called for a harder line against suspected terrorists, but didn't elaborate on what it would involve.

Ms Hanson is also demanding a stop to Muslim immigration after Sunday's attack in London which killed seven people and wounded four Australians.

Moments before police stormed the building and shot him dead, the hostage-taker called Channel 7 saying: 'This is for IS, this is for al-Qaeda.'

Three police officers were wounded in a shootout with an 'ISIS-inspired' hostage-taker

'Stop Islamic immigration before it is too late,' she told her followers in Australia on Sunday morning.

Senator Hanson has an ally in former Prime Minister Tony Abbott, who called for police to be given the shoot-to-kill powers utilised in the London terror attack.

Mr Abbott, who put a commando regiment on standby during the December 2014 Lindt cafe siege, said he wanted Australia's leaders to urgently consider using the military in complex terrorist situations.

The gunman in Melbourne wounded three police officers before he was shot dead at The Buckingham serviced apartments on Bay Street in Brighton

Ms Hanson is also demanding a stop to Muslim immigration after Sunday's attack in Manchester which killed seven people and wounded four Australians

The gunman in Melbourne wounded three police officers before he was shot dead at The Buckingham serviced apartments on Bay Street in Brighton.

A man who worked in the apartment block was found dead in the foyer when police stormed in, believed to be killed by the gunman.

The woman aged in her 20s taken hostage, who also worked at the apartments, was safely rescued by armed police and the siege was resolved.