Tightening the parole system will be high on the agenda at a meeting of Australia's Prime Minister and state premiers on Friday after the Melbourne terrorist siege.
Gunman Yacqub Khayre was on parole when he shot dead a clerk in an apartment block and was later killed in a shootout with police last night.
Khayre had served jail time over a violent burglary in 2012 and had been on parole for arson since November.
He spent 16 months on remand before being acquitted of the 2009 Holsworthy army barracks terror plot in Sydney.
Malcolm Turnbull, who will convene the Council of Australian Governments in Hobart, said the issue of parole was a high priority.