Several candidates elected at last weekend's federal election could face a challenge over holding council positions.

It is believed Liberal MP Russell Matheson, who won the seat of Macarthur, and Country Liberals' Natasha Griggs in the seat of Solomon nominated for federal Parliament while being employed as local councillors.

The LNP's George Christensen could also be facing a challenge if he is confirmed at the winner in the seat of Dawson in Queensland.

A Professor of constitutional law at Queensland's Bond University, Patrick Keyzer, says according to the Constitution, candidates cannot hold an 'office of profit under the Crown'.

"If a person who's in the public service is elected to the House then there's a belief - and this has been expressed in High Court judgements - that membership of the public service may impair their duties to the House of Representatives," he said.

"There's very considerable risk that the public servant would share the political opinions of the minister of his or her department and that would mean that they wouldn't bring a free and independent judgement to their role in the house."

But according to the official Parliament House website, the question of whether a local councillor holds an 'office of profit under the Crown' remains unresolved.