The man gunned down in Brighton's bloody terror siege has been identified as recently married father Kai Hao.

Prime Minister Malcolm Turnbull named the 36-year-old Chinese-born Australian on radio station 3AW on Wednesday morning, two days after Mr Hao was shot dead by Yacqub Khayre at the Buckingham International serviced apartments on Monday.

Mr Hao, also known as Nick, had been working as a receptionist at the Bay Street apartments and was married only 15 days before he was killed in the terror attack.

"Mr Hao - Kai Hao - a dad, he has been killed by a terrorist in our own, in your city, in Melbourne, in Australia. This again is a heartbreaking crime," Mr Turnbull said.

Deputy Commissioner Shane Patton said on Tuesday that Mr Hao had "recently married and had had a child".

According to Chinese media, Mr Hao had worked at the hotel for five years.

Police found Mr Hao's body in the foyer of the apartment block after they were called to the scene by a sex worker taken hostage by Khayre.

Khayre was later shot and killed in a dramatic shootout with police.

A floral tribute has formed for Mr Hao at the front gate of the apartments with cards written in both English and Chinese.

One simply states: "We will miss you."

One elderly Brighton man who didn't want to be photographed paid his respects at the apartment complex on Wednesday, leaving a bouquet with a heartbreaking message.

In a card signed only "H.P.", the man paid his condolences to the wife and child of Mr Hao, writing "we feel your sadness".

"It could have been any one of us," he wrote.

The card is the first outpouring of grief from the community in addition to tributes in Chinese left outside the complex overnight where Mr Hao killed.

A police information van was on Wednesday stationed on Bay Street with officers saying their presence was meant to reassure locals.

Two uniformed officers who said they were the first police on the scene of the siege returned to the Buckingham Serviced Apartments on Wednesday morning.

One officer told reporters he had come back "to try and get my head around it".

"I'm just glad I didn't go in," he said after spending a few minutes outside the apartments before getting back into his patrol car and driving away.

Victoria Police Chief Commissioner Graham Ashton said it was a "great tragedy" and the victim had been in the wrong place at the wrong time.

Police have also revealed the woman taken hostage by Khayre was a 36-year-old Colombian national living in Ripponlea, just a few kilometres away from the Brighton apartment complex.

The woman works for an escort agency and was lured to the serviced apartments by Khayre, who had pretended to be a client before taking her hostage.

Deputy Commissioner Shane Patton said the woman had been tied up in an apartment for "a period of time" but was not seriously injured during the siege. She was rescued by police after Khayre had been killed.

"As I understand she was not physically injured but has been very significantly traumatised by this event, as you would expect," Mr Patton said.

He said the woman was recovering and police would provide support.

On Wednesday morning, Police minister Lisa Neville updated parliament on injuries to two police officers involved in Monday's terror incident.

One officer has had an operation for hand injuries received from gun pellets which required skin grafts.

A second officer had surgery for neck, shoulder and facial injuries.

On Tuesday, police returned to Bay Street, where they carried brown paper bags of evidence – one containing a book with Arabic writing – from the apartment building.

The bomb squad was at the scene and loud bangs, possibly controlled explosions, were heard. A burgundy car was towed away from the scene.

Police also raided the Roxburgh Park home Khayre shared with his mother, with computers and other electronic devices seized.

Federal police, forensic crews and public order response police cordoned off the street and spoke to neighbours. Marta Tuariki described Khayre as a regular man and was shocked to learn of the siege.

But a 15-year-old neighbour painted a different picture of Khayre. "He used to sit at the front of his house on a plastic chair," he said. "He used to just sit there. He used to get annoyed. He used to turn on my mates and stuff like yell at them."

Meanwhile, there were fiery scenes in State Parliament where debate raged about parole conditions and violent crime sweeping the city.

On Wednesday, the Bay Street building remained closed with a padlocked chain wrapped around the front gate. A window at the front of the property remained half open and a shopping bag containing biscuits and a water bottle sat untouched in the driveway.

It is unclear when the hotel will reopen for business.

Some members of the Muslim community have spoken out to condemn the attack by Khayre, but others have been reluctant to comment, raising questions about his motive and mental health.

Khayre, who had been on parole since November, had a long record of serious criminal offending - including offences for drugs, firearms and extreme violence - and was being investigated for possible links to terrorism.

A source in the Muslim community said Khayre's religiosity was "on and off", but that he had "serious mental health issues" and an addiction to the drug ice.

"Nobody has made any reference to extremist thoughts or motivations," the source said, adding people were "shocked, but not surprised" that Khayre might have acted this way.

The Board of Imams Victoria said it condemned any terrorist activity on Australian soil.

"The action of the young man in the name [of] ISIS and al Qaeda is despicable and against the teaching of Islam and the violation of sanctity of Ramadan," spokesman Sheikh Mohamadu Saleem said.

"Our thoughts are with the police officers injured in the operation. We ask Muslim community to be vigilant and cooperate with authorities to foil any terrorism activity in Australia."

- with Allison Worrall and Richard Willingham