The action against Andy West, who works for BBC Northern Ireland, came after he made online comments that he was “ashamed” to work for the broadcaster.
The gay journalist from England criticised the BBC’s decision to choose Fury as a nominee for its prestigious annual sports award despite the boxer’s controversial views on homosexuality.
BBC Northern Ireland will be heavily involved in covering this year’s ceremony in Belfast later this month.
In his Facebook post, Mr West wrote: “My employer is hurting me and other gay people by celebrating someone who considers me no better than a paedophile and who believes homosexual people are helping to bring about the end of the world.
“It’s tempting to see him for the laughable idiot he is but sadly there are many other idiots who will be inspired and encouraged by his naive, juvenile bigotry.
“I am ashamed to work for the BBC when it lacks bravery to admit it is making a mistake.”
In a Twitter post yesterday, West said he had been suspended: “I can’t say more but, as of yesterday, I am suspended by the BBC pending investigation.”