While they believe she should step down while campaigning, she does not legally have to, and said she would not.

"I don't believe there is concern within the wider community about me contesting the federal election and continuing to carry out my role as mayor, not one person has raised it with me," Cr Archer said.

Concerns were raised after a press release was distributed from the council.

The release was a funding announcement from the National party, which referred to Cr Archer as the federal Bass Liberal candidate. 

Cr Archer was then quoted as the town's mayor.

IN OTHER NEWS:

"The press release relating to the George Town announcement was prepared by the general manager and I provided comment in my role as mayor in the same way I normally would when council receives external or grant funding," she said.

"I was described in the release as being involved in the announcement along with my coalition colleagues as a statement of fact."

Cr Archer said mayors routinely had other jobs or roles outside local government and this was no different.

"There is no requirement to stand aside until elected," she said. 

You cannot nominate for the senate or house of representatives if you are a member of a state or territory parliament, unless you have resigned before the hour of nomination. Cr Archer is within local government so this does not apply.

Anita Dow, Steve Martin and Justine Keay resigned from their positions when they campaigned for federal seats. 

Ms Dow was the Burnie mayor, Mr Martin was Devonport mayor and Ms Keay a Devonport alderman. 

Tasmanian Labor senator Anne Urquhart noted Cr Archer had been listed third on the media release. 

"Who is running for election - Bridget Archer, Carl Cooper or Steve Martin? It must be embarrassing for mayor Archer that as the Liberal candidate she has been frozen out by her so-called junior coalition partners, the Nationals," she said. 

"It is clear the chaos and division between the Liberals and the Nationals in Canberra has now arrived in Tasmania."

A date for the federal election has not yet been announced yet.