The broadcaster has ignored his warning, however, as they announced their shortlist on Monday.
Tennis star and US Open winner Emma Raducanu is the odds-on favourite to lift the trophy. Tom Daley, Adam Peaty, Raheem Sterling and Dame Sarah Storey are also on the shortlist.
Fury has had a long-running battle with the broadcaster which began in 2015 following his first world title victory over Wladimir Klitschko.
He caused controversy that year following a string of homophobic and sexist comments with a petition demanding his removal from the SPOTY shortlist attracting more than 140,000 signatures.
Fury, ultimately finished fourth behind Andy Murray, Kevin Sinfield, and Jessica Ennis-Hill before apologising for his comments during the live show. He was also included on the six-person shortlist last year before he threatened legal action if his name was not removed.
The BBC declined to do so and Fury finished sixth and last as Lewis Hamilton won the award.
And this year Fury told the Daily Telegraph: “It means nothing to me and I don’t need it or want it.
“In fact, they will hear from my solicitors if they do put me on the list. Give it to someone who needs it. I don’t.”
“We know who the sports personality of the year is anyway – it’s me. I am the sports personality. Who does what I do, goes through a war in Las Vegas, entertains the fans, and then sings to the audience?”
Fury is expected to defend his WBC title for the second time early next year in a homecoming fight at a UK stadium, likely against Dillian Whyte.