Opposition Leader Peter Dutton has called for powers to take down harmful online content to be extended to social media posts "glamorising" violence and criminal activity, with new offences to punish those who "post and boast".

The Coalition will introduce a private members bill into parliament next week that would grant the eSafety commissioner powers to issue take-down orders and criminalise the act of promoting crime online.

The bill would create a new Commonwealth offence to criminalise posting material that depicts violence, drug offences or property offences to increase a person's notoriety, punishable by up to two years' imprisonment.

It would also provide sentencing options to ensure courts could prohibit individuals convicted of that offence from using social media for up to two years.

The commissioner's current take-down powers only allow posts to be removed with the cooperation of the hosting social media company.

Mr Dutton said the offences were a "common sense" proposal that he urged the government to support.

"I hope that the government is able to pick it up quickly because I think Australians want an answer from the prime minister about what we can do at a federal level," Mr Dutton said.

"When I was a policeman many years ago you'd go to a break-and-enter, largely it was someone breaking in to steal goods or money to fuel a drug habit.

"Today we know cars are being stolen and people's houses are broken into ... because kids if they're part of a gang or if they're part of a culture where they can post an image of a motor vehicle ... or a designer handbag, or if they're standing in a bedroom with an elderly lady asleep or cowering behind them, that brings them great kudos online, and it gives them notoriety, and it glamorises their crime."