Proposed amendments to Section 18C of the Racial Discrimination Act were axed by the federal government in August following widespread public backlash.
The proposed amendments – involving the removal of the words 'insult', 'offend' and 'humiliate' – were supported by Mr Wilson, despite acknowledging that the proposal “had flaws”.
Addressing the National Press Club on Wednesday, he renewed his push for change to the "utterly inconsistent" legislation.
"It must be amended," he said.
"I know the objective of this law is not to take subjects off the table. That’s part of the problem. The intention of the law doesn’t match its wording."
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Mr Wilson said the law did not cover all issues involved with discrimination, such as religious harassment.
He further stated that the law could be used to censor discussion regarding some groups.
"No group should be able to use law as a shield from criticism," he said.
"That’s why 18C is neither fair, nor just, and should be repealed."
Prime Minister Tony Abbott said changes to the Racial Discrimination Act were "off the table" in August, a move condemned by Mr Wilson.
The move was however welcomed by Opposition MPs.
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