Muslim leaders, academics and activists are demanding the ABC apologise for airing senator Jacqui Lambie's "racist, Islamophobic and crude" views on its Q&A program.

In a petition published on Change.Org, Muslim community members accused the ABC of breaching its own values in broadcasting the Tasmanian senator's views, which they described as "racial abuse".

"Whilst you may view last night as an opportunity to boost ratings at the expense of fairness and respect to panelists, and members of minority communities, we view the bullying that occurred on last night's TV show as a clear example of further deterrence for Muslim youth to engage in public platforms," read the petition, which had attracted 715 supporters seven hours after it was published on Tuesday.

"We demand an apology from Q&A for its poor handling of the debate and for its failure to uphold its values of respect and integrity."