It would be an offence to possess "instructional terrorist material" and to make terrorism hoaxes under new laws to be considered by state and federal leaders at a special terrorism-focused Council of Australian Government meeting in Canberra on Thursday.

The two new offences, outlined in a leaked copy of the meeting's agenda obtained by Fairfax Media, are among a broad range of counter-terrorism issues that will be examined at the special meeting.

These include an updated national counter-terrorism plan, "better equipping our agencies to prevent and respond to terrorist incidents", including through a national facial biometric matching capability, and enhancing the existing national pre-charge detention regime.

The government wants the states to introduce a nationally consistent approach to bail and parole for terror suspects; a measure it first flagged in June.