The registration of Pauline Hanson's One Nation in Tasmania would only be a "minor nuisance" for the state's major political parties, but the Jacqui Lambie Network could be a different story, according to a political analyst.

One Nation and the Jacqui Lambie Network have both signed more than 100 members in the state and their applications to register have been published by the Electoral Commission.

Analyst Kevin Bonham said One Nation's plans in the state were a surprise given its recent focus on the upcoming Queensland election, but he did not think it would be a headache for the major parties.

"I think One Nation are a minor nuisance … in Lambie's case, it's more a question of whether she herself is on the ticket or not," he said.

Jacqui Lambie has the potential to influence state politics, says one analyst. ( ABC News )

Amid recent questions over Ms Lambie's citizenship status, Mr Bonham said she could potentially shake up the political landscape in Tasmania.

"One thing that [the major parties] should be very concerned about is the possibility of Jacqui Lambie being found ineligible for the senate and then running in the state election," he said.

"I think that Lambie — if she ran as a candidate in Braddon — would be highly likely to be elected … she could end up holding the balance of power in the Tasmanian Parliament."

Mr Bonham said the Jacqui Lambie Network and One Nation appealed to different demographics.

"I think [Jacqui Lambie] appeals probably to a more left-wing populist demographic now than she did when she first started, when she was appealing to a very similar demographic to One Nation," he said.

Mr Bonham said he believed the two parties would target the electorates of Braddon, Bass and Lyons, where they were more likely to gain greater momentum than in the state's south.

He said the Greens could lose seats because of the new parties, but nothing was certain.

"To some degree these parties running could actually help [the Greens], if it's taking votes off the major parties that don't come back in preferences then that could actually assist the Greens to a degree."

Negative campaigns 'not welcome'

Labor MP Madeleine Ogilvie welcomed the possibility of a Lambie candidate, but was sceptical of One Nation's chances if they ran their first-ever candidate in Tasmania.

"That's not the kind of politics that we welcome here, it's not the kind of politics I think that will resonate here," she said.

Greens MP Rosalie Woodruff also had doubts, and said One Nation — which had a reputation for negative campaigning — would not fare well in Tasmania.

"We don't need a negative campaign, people want respectful engagement. They expect that from their politicians," she said.

Ms Woodruff said the possibility of the two parties running candidates in the upcoming election showed a changing mood in Tasmanian politics.

"The Labor and Liberal parties are not satisfying people who are concerned about the environment, concerned about discrimination and concerned about the cost of living and pokies."

A statement attributed to Deputy Premier Jeremy Rockliff said: "A vote for any minor party is a vote to go back to the bad old days of Labor and the Greens."

"What Ms Lambie does is a matter for her."

There is now a window of 30 days where objections can be lodged against the party registrations, but only on specific grounds.