Members of parliament will face a new set of rules around expenses within months, Prime Minister Tony Abbott says.

The pledge comes as Labor frontbencher Tony Burke, who led an attack on former Speaker Bronwyn Bishop, fends off accusations of hypocrisy over his own expenses.

Mr Abbott said the new rules, following a review led by former Finance Department secretary David Tune, would be in line with community expectations of what MPs should and should not be allowed to claim as legitimate expenses.

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“I am focused on trying to ensure that within a few months we have a new system that engenders public confidence that MPs are doing what they need to do but they are doing it in a reasonable, prudent and, wherever possible, frugal way,” Mr Abbott told reporters in Adelaide on Wednesday.

“I want to ensure that the latest controversies are the last controversies.”

Mr Burke and his family flew business class on a taxpayer-funded trip to Uluru in 2012.

He argues that as environment minister at the time he met with members of the Mutitjulu community and the managers and rangers of the Uluru-Kata Tjuta National Park.

The Labor MP is also facing claims he charged taxpayers to travel to a Robbie Williams concert in 2014.

“There is no allegation that I have broken any of the rules at any point,” Mr Burke said in a statement.

The government claims Mr Burke has had to refund the cost of more than a dozen taxpayer-funded trips he’s taken.

Assistant Treasurer Josh Frydenberg said Mr Burke was holding coalition MPs to one standard and himself to another.

“Tony Burke’s a hypocrite,” he told Sky News.

“Next he will tell us he has portfolio responsibilities for shadowing Kim Kardashian.”

Mr Burke said his criticism of Mrs Bishop, who resigned as Speaker over her $5200 chartering of a helicopter to a Liberal fundraiser, was about breaking the rules.

The Williams concert was work-related because he met with the promoter as part of his business as an opposition MP.

– AAP