The programme, which has not yet been given a title, will be on BBC News 24 and will be in the style of the Feedback series on Radio 4.
The show is one of a series of new initiatives aimed at providing greater journalistic accountability in the wake of the Hutton Report. The BBC has admitted that it was too slow to acknowledge publicly that Andrew Gilligan's infamous Today programme Iraq dossier story was wrong.
BBC director of news Richard Sambrook told the Guardian today: 'In my view, the biggest change to come out of Hutton will be our attitude to mistakes and correcting them quickly.'
However, Sambrook added that he did not agree with Lord Hutton's description of the BBC's editorial procedures as 'defective'.
He said: "What the internal process that was carried out by the BBC concluded was that there were proper editorial procedures in place, that there was an agreed script [for the Gilligan story], but that it wasn't followed. But the consequences of that we were very slow to recognise."
The BBC is also setting up a corrections website to deal with complaints made about radio or television programmes.
BBC News will have its own section of the website to address mistakes and misinterpretations.