Yes, Australia is considered a safe destination for tourists. The crime rate is relatively low and most visitors experience no problems during their stay. However, it's always important to take precautions when travelling to any new country.
Be sure to research your destination before you go and keep your belongings safe while you're there. If you have any concerns, be sure to contact your local embassy or Consulate for advice.
We also recommend that you get travel insurance before you go for additional peace of mind, just in case you need it.