Each Australian state and Territory has a peak union body (or Trades and Labor Council).
Northern Territory
http://www.unionsnt.com.au/
Queensland
http://www.qcu.asn.au/
New South Wales
http://lcnsw.labor.net.au/
Australian Capital Territory
http://www.unionsact.org.au/
Victoria
http://www.vthc.org.au/
Tasmania
http://www.unionstas.com.au/
South Australia
http://www.saunions.org.au/
Western Australia
http://www.tlcwa.org.au/