Since 2012, the Institute for Molecular Bioscience and the School of Chemistry and Molecular Biosciences

 (at The University of Queensland) jointly offer a Master of Bioinformatics.

The University of Melbourne offers graduate coursework study in Bioinformatics. 

There are also Research Higher Degrees PhD, MPhil available.

The Research School of Biological Sciences, at the Australian National University

 in Canberra offers PhD., MSc. and Honours programs in Bioinformatics.

You can obtain a Graduate Certificate in Bioinformatics from Curtin University of Technology in Western Australia.

As of 2001 Flinders University in Adelaide offers a Bachelor's of Science in Bioinformatics.

The Biochemistry Department of La Trobe University in Victoria also offers an undergraduate course

 in Bioinformatics.

There are PhD, MPhil and Honours programmes in bioinformatics (plus a bioinformatics minor) available 

at Murdoch University's Centre for Bioinformatics and Biological Computing.

The University of New South Wales in Sydney offers a Bachelor of Engineering in Bioinformatics.

Queensland University of Technology in Brisbane QLD offers a Bachelor of Applied Science Innovation,
with a major in Bioinformatics from 2004.

Sydney University in New South Wales offers a Bachelor's of Science and a postgraduate,
 Master of Applied Science degree in Bioinformatics