From the Commonwealth Report: "Australia has a federal system of government, with a national  government and six States and two Territories. Health remains the responsibility of the States. However, the Commonwealth Government holds the greatest power to raise revenue, so States rely on financial transfers from the Commonwealth to support their health systems."

From OECD: "The  health  system  can  broadly  be  characterised  as  one  in  which  public  hospitals  are  jointly  funded  by  federal  and  state  and territory governments, and are managed by the states and territories. The states are the hospital system managers, while the federal government retains lead responsibility for primary health care. Private hospitals are subject to a combination of fed
eral and  state  requirements.  The  states  are  responsible  for  licensing  private  hospitals,  while  the  federal  government  regulates private health insurance."