The festive staple is one of the most played Christmas songs in history, but has been condemned by the LGBTQ+ community in recent years for the use of the word “f****t”.
It sees frontman Shane MacGowan and Kirsty MacColl adopting the roles of a toxic couple whose marriage is on the brink of collapse.
When the song is on rotation this year, the channel will omit the homophobic slur from MacColl’s verse, as well as the word “slut”.
BBC Radio 2 will air the original, but have been given permission from 6 Music to play the version of their choice. The BBC said: “We know the song is considered a Christmas classic and we will continue to play it this year, with our radio stations choosing the version of the song most relevant for their audience.”