The man accused of throwing a bomb into a crowd at the Boorloo/Perth Invasion Day rally in an alleged act of terrorism has been identified as Liam Alexander Hall.

WA Police allege the 32-year-old threw what they described as a "fragment bomb" filled with ball bearings and screws into the crowd on January 26.

Earlier this month he became the first person in Western Australian history to be charged with a terrorism offence.

WA Police Commissioner Col Blanch said prosecutors would allege it "was a nationalist and racially motivated, attack ... targeting members of the Aboriginal community, First Nations people".

In late January it was confirmed the Joint Counter Terrorism Team confirmed it was investigating the attack 'as a potential terrorist act'.

Hall's identity was suppressed from his first court hearing, prior to the terrorism charge, when he faced charges of intention to do harm and possessing explosives under suspicious circumstances, after a defence lawyer raised concerns about his safety in prison.

Hall was not present for the second hearing of his case, the ABC reports, and the first hearing of the terrorism charge, with his lawyer Simon Freitag SC referring to a doctor's report which found he was not fit to attend.

"The accused man is in a vulnerable mental health condition, he can't even appear today in the court, and we've been asked by his treating psychiatrist to adjourn the matter for six weeks," Mr Freitag said.

Magistrate Lynnette Dias said that was not sufficient evidence to depart from the usual practice of naming an accused person.

"Given the serious nature of these charges and fundamental principles relating to open justice, I do not consider that issues relating to the accused's interests and his personal circumstances are such as to justify displacing the usual practice of naming accused's persons," she said.

"It's not in the interests of justice to make a suppression order."