Those operating a cryptocurrency/digital currency exchange (DCE) which exchanges fiat (Australian or foreign currency) for digital currency and/or vice versa, have obligations under the Anti-Money Laundering and Counter-Terrorism Financing Act 2006 (AML/CTF Act). A policy principle period was declared to allow DCEs time to comply with their new obligations under the regime. From 2nd October 2018 DCE providers must now be fully compliant with their obligations under the AML/CTF legislation.

http://www.mondaq.com/australia/x/742844/Money+Laundering/Cryptocurrency+exchanges+must+now+fully+comply+with+the+antimoney+laundering+and+counterterrorism+laws+in+Australia