This tool will parse Australia's trademark database in search for identical trademarks.
Please note that this is only preliminary search for identical trademarks only.
There are other three factors that could affect your trademark registration possibilities: other similar trademarks in your class, other similar trademarks in related classes and whether your trademark is too generic. This is why we strongly recommend requesting a trademark comprehensive study, which you can request here.
If you are clear about your registration possibilities and you want to disregard the other aspects that could affect your trademark registration, you can proceed with the process here.