You will need this registration if you operate a registrable Australian body, and you intend to carry on business outside the jurisdiction in which it was incorporated.
Registrable Australian bodies include body corporates that are not companies, recognised companies, exempt public authorities, corporations sole, foreign companies or financial institutions. Certain unincorporated bodies can also be registrable Australian bodies.
An association which is registered under a State law not recognised in other States will generally be a registrable Australian body.