New senator Jacqui Lambie says the Prime Minister put his political career ahead of his daughters' safety by "parading" them for the media in last year's election campaign.

The Tasmanian senator, who took office on Tuesday, launched the criticism of Tony Abbott in an interview on Radio National this morning, adding that she believed the Coalition leader was a "political psychopath".

"What really finished it off with me was when in the last election how he was parading his daughters around ... because that's a security issue," she said.

Senator Lambie said being a former Army corporal, this was the "last straw" for her in assessing Mr Abbott's character.

"That really bothers me that you've got those pretty young girls running around in front of a camera, and I just thought, 'Is your political career more important than your own daughters' security?'," she said.

Mr Abbott said he would not respond to "each and every comment" from "each and every member of the new Senate" but would deal with them respectfully.

"I intend to deal courteously and respectfully with all of them," he told reporters in Melbourne.

Senator Lambie denied her party leader and founder Clive Palmer dictated policy, adding that she had recently managed to convince him to change his position to support the Renewable Energy Target (RET).

She also confirmed Mr Palmer wanted to lead the country.

"Why wouldn't we want to have him as prime minister, he's got the economic brain," she said.

Sorry, this audio has expired Listen to Jacqui Lambie's interview on RN Breakfast

Senator Lambie said she would not lie about her political positions and views because she would not be able to face her parents' disappointment, nor the voters of Tasmania.

New senators arrive for induction

Meanwhile, new senators have arrived at Parliament House in Canberra for training on how the chamber operates.

But Liberal Democrat senator David Lyonhjelm says the "action" will not begin until next week.

"Today is just [the] induction program, learning procedure and how to operate in the Chamber, plus a few things: housekeeping stuff, entitlements, expenses, that sort of stuff," Senator Lyonhjelm said.

Labor senator Joe Bullock said he was in Canberra to protect the rights of working people, which he said were under attack by the Government.

Yesterday, Motoring Enthusiast Party senator Ricky Muir met the Prime Minister in their first get together.

They discussed the carbon tax, which Mr Abbott expects will be repealed next week, but Senator Muir gave no indication which way he would vote on legislation.

Mr Abbott described Senator Muir as a "decent, salt-of-the-earth country Victorian" and flagged the possibility of them even becoming friends.

"It was really a getting-to-know-you meeting on both sides. He hadn't met me before. I hadn't met him before, so it was a good chance to open what I'm sure will be a constructive and civil relationship – perhaps even a friendship, we'll see," he said.