"Ukip looks forward to a contrite apology from Swedish TV. As a moderate party, we welcome members and candidates of all races and religions. Unlike other major British political parties, we bar from membership anybody who has ever been in an extreme party of the left or right".
Woolfe added: "As someone of mixed race myself with African, Irish and Jewish heritage, I am a member of Ukip because its migration policy welcomes people on merit rather than ethnicity. We are a moderate libertarian party which believes in liberty and democratic self-determination – there is nothing either left-wing or right-wing about that."
"But from this moment on please do not ever call us a racist party. We are not a racist party," he said.
Farage has however landed himself in hot water over some of his own comments, including a suggestion he would be nervous if a group of Romanians or Bulgarians moved in next door to him. He later argued that he had been "tired" when he made the comments.
The Swedish Broadcasting Authority's announcement came as Ukip's leader Nigel Farage launched his party's UK general election campaign in London.