It is an offence under section 474.17 of the Criminal Code Act 1995(Cth) to use a mobile phone or email to menace, harass or cause offence. A person will be found guilty of an offence if they use a service in a way that reasonable persons would regard as being, in all the circumstances, menacing, harassing or offensive. The court has considered the types of conduct that would be regarded as ‘offensive.’ A court has held that “the communication must be characterised as one causing offence or carrying with it the likelihood of causing offence to the person to whom it is directed.”
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If you are receiving harassing or offensive phone calls, you should make a report to the Federal Police who are entrusted to enforce the Commonwealth Criminal Code.