At the top of the programme, broadcast at the height of the riots earlier this month, presenter Nuala McGovern told listeners: "Many of you who got in touch with the BBC pointed fingers directly at young black men after seeing pictures of the riots."
She added: "We are asking, is there a problem with young black men?"
Yesterday, the actor and playwright Kwame Kwei-Armah, a former star of the BBC hospital drama Casualty, was among those supporting an online petition for the BBC to make a more formal apology.
Others took to the World Have Your Say Facebook page to complain. One contributor, Justin Ford, wrote: "I'm a young man and there aren't any problems with me. The very wording of this discussion scares me."
The BBC spokesman pointed out that the programme was not intended to demonise young black men. "It was a responsible attempt to debate social attitudes towards young black men including whether they were unfairly blamed for causing trouble," he said.
"Riots were underway as the programme went to air and it was made clear on several occasions that those involved came from a range of ages, backgrounds and ethnicities."
The BBC's comments followed another apology made to the commentator Darcus Howe, who was wrongly accused by a BBC television presenter last Tuesday of having taken part in riots in the past.
- THE INDEPENDENT