Yesterday, the professional dancer made a public apology after it emerged that he had called his celebrity partner Laila Rouass a "P**i". It is believed that he made the comment after the actress had a spray tan.
Du Beke also allegedly joked that Rouass could be a "terrorist" after hearing about her Moroccan heritage last month.
Anti-racism groups have now claimed that the star should be dropped from the ballroom series. The BBC has previously axed Carol Thatcher from The One Show after she referred to a black tennis player as a "golliwog" backstage.
Nick Lowles, from Hope Not Hate and Searchlight, told The Mirror: "This is more serious than the Thatcher incident. It is the second time such language has been used. Those are clearly his feelings. An apology isn't enough. He should be sacked."
Meanwhile, a spokesman for the Pakistan Welfare Association in London told the Daily Star: "The P-word is offensive and racist and there should be repercussions. If someone at the BBC got the sack for using a racist term and another person seems to go unpunished for saying something similar, then where is the justice? If anyone said this in the workplace they'd probably be fired."
Labour MP Parmjit Dhanda added: "This kind of language is totally unacceptable. It sounds to me as if Anton Du Beke needs to be sent on a race awareness course."
The BBC has insisted that it does not condone offensive language in the workplace.
On claims that Du Beke is being treated differently to Thatcher, a spokesman said: "Carol never apologised for her comment and Anton has."