Newspapers across the country published redacted front pages on Monday as part of a campaign to highlight the ways in which the media is prevented from reporting on issues of public interest.

Prime Minister Scott Morrison told parliament on Monday a free press was part of the freedoms of a liberal democracy.

"I also believe in the rule of law and that no-one is above it, including me or anyone else, any journalist," Mr Morrison said.

"The rule of law has to be applied evenly and fairly in protection of our broader freedoms, and so I don't think anyone's, I would hope, looking for a leave pass on those things."

Mr Morrison said journalism wasn't a crime and that people shouldn't be prosecuted for their profession, but stopped short of committing to change laws under which ABC and News Corporation journalists are currently being investigated.

Earlier on Monday Labor leader Anthony Albanese said he hadn't seen the specific reforms being asked for by the Your Right to Know group, but said he supported a call for journalists to be able to contest warrants to search media organisations or homes.

Mr Albanese said the Coalition government was increasingly choosing not to answer questions, including about whether Hillsong leader Brian Houston was invited to the White House state dinner.

"That has drifted dangerously into a sphere whereby when the Prime Minister is asked questions, he refuses to answer them," Mr Albanese said.

Mr Albanese said changes to laws regarding freedom of information needed to considered, and freedom of the press shouldn't be taken for granted. "But circumstances whereby three people, two from the ABC and one from News Limited, still have the threat of criminal prosecution hanging over them for doing their job is, in my view, unacceptable.

Earlier on Monday former deputy prime minister Barnaby Joyce criticised the campaign, referring to reporting of his relationship with former staffer Vikki Campion, with whom he now has two children.

"We talk about the public interest as if it's some indissolvable right, it's a beacon of justice which everything else can be put aside to protect," Mr Joyce said to Nine newspapers

"But that is the same indissolvable right you use to take a photo of a pregnant lady, a private individual, walking across the road - you also believe that was in the public interest and not only was it good, it went on the front page and got the fourth estate a Walkley."

The Your Right to Know group consists of the journalists' union and major media organisations, including the ABC, News Corporation, Nine and Australian Community Media, publisher of this newspaper.

This campaign was sparked by raids on the ABC and the home of News Corporation journalist Annika Smethurst in bids to find the sources of leaks.