Australians who endure cyber-bullying online will get "the right to be forgotten" so the bullying doesn't remain there forever.
Prime Minister Scott Morrison and state and territory leaders met in Adelaide and agreed in principle to support a mechanism to ensure evidence of the bullying is not online for all time.
"We have agreed today that it is important that for victims of cyber-bullying there is an ability to have the right to be forgotten online," Mr Morrison told reporters after the meeting on Wednesday.
"And that doesn't just apply to young people.
"They have the right to be forgotten and they do not have to live their lives with the issues of things that have happened online to them."
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But Mr Morrison said governments will need to make sure there is no loophole allowing people to get away with wiping evidence of their crimes.
The leaders agreed the federal government, in consultation with the states, will bring a proposal back to the Council of Australian Governments on the right to be forgotten.
The Australian Competition and Consumer Commission this week also released a report into digital platforms looking mainly at Google and Facebook, and it included recommendations about the right to delete personal data.
The ACCC found the digital giants should give Australians the right to delete all the personal data held on them.
