Liberal Democrat senator David Leyonhjelm plans to introduce a bill to change racial discrimination laws, saying section 18C of the Racial Discrimination Act should be removed.

"Free speech is free speech, there's no qualification to it, let's just remove 18C entirely and everything that goes with it," Senator Leyonhjelm told Insiders.

The newly re-elected senator said Family First Senator Bob Day also planned to introduce more "modest" changes to the law.

"We're going to have a choice between my approach, which is going further, and the more modest approach," he said.

The Federal Government had planned to change 18C of the Racial Discrimination Act in 2014 but then dumped the proposal, citing concerns for the relationship with the Muslim community.

Attorney General George Brandis ruled out changes to the legislation on ABC's 7.30 earlier in the week, but Senator Cory Bernardi responded with "18C repeal is not off my agenda".

Senator Leyonhjelm has long supported changes to the Racial Discrimination Act.

'Offence is always taken, not given'

"If you want to take offence that's your choice, you have a choice of choosing another feeling," Senator Leyonhjelm said.

"Offence is always taken, not given. So if you don't want to be offended, its up to you, don't be offended, that's it.

"We're not responsible for the feelings of other people, none of us are."

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New One Nation senator-elect Malcolm Roberts also reiterated his similar stance on the race discrimination laws.

"It is very important to the country because at the moment a lot of people are afraid to speak up," he told Insiders.

Mr Roberts had told reporters on Friday that Section 18C "needs to be addressed because [it is] curbing free speech".

Section 18C of the Racial Discrimination Act makes it illegal to carry out an act if: "(a) the act is reasonably likely, in all the circumstances, to offend, insult, humiliate or intimidate another person or a group of people; and (b) the act is done because of the race, colour or national or ethnic origin of the other person or of some or all of the people in the group".

Section 18D of the Act outlines some exceptions — for example, an offence isn't illegal if it is a fair and accurate report or comment.

Laws were introduced to 'nobble' Bolt: Roberts

Mr Roberts said the current racial discrimination laws had been introduced to "nobble" conservative commentator Andrew Bolt, and added that "Julia Gillard did that."

The Racial Discrimination Act was first introduced in 1975 and changes to 18C were made in 1995 when Parliament passed the Racial Hatred Act. Ms Gillard did not win a seat in Federal Parliament until 1998.

When then Labor attorney-general Michael Hugh Lavarch introduced the changes into Parliament in November 1995, he made no mention of Andrew Bolt.

In 2011, Mr Bolt was successfully sued under the act for a series of articles he wrote on Aboriginals, including some that implied light-skinned people who identified as Aboriginal did so for personal gain.

Mr Roberts said he shared Senator Leyonhjelm's view on not being responsible for other people's feelings.

"You can call me short, you can me fat, you can call me a Queenslander, you can call me a cane toad," he said.

"Whatever you want to call me, the only person who decides whether I'm upset is me."