Asbestos is classed as a hazardous material and can only be disposed of at certain locations. Asbestos fibres are hazardous if inhaled, posing a risk of asbestosis and cancer of the lungs. If asbestos is found on your property, you should hire a professional to collect and dispose of it in a safe and legal manner.
https://recyclingnearyou.com.au/
Transportation and disposal of waste asbestos is controlled by the EPA. Further information on asbestos, including a list of premises licensed to accept waste asbestos. For more information visit http://www.epa.vic.gov.au/your-environment/waste/asbestos
Asbestos will not be accepted at the Transfer Stations.