The British broadcaster committed a "major breach" of industry standards by omitting to mention that the voice of a programme about the Gaza conflict was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The head of the BBC had already issued an apology, noting there had been "a significant failing in relation to truthfulness".
The regulator has directed the corporation to broadcast a peak-time statement about its conclusions.
"As this represents a serious breach of our regulations, we are instructing the broadcaster to broadcast a announcement of our findings against it on the BBC's second channel at 21:00, with a schedule to be determined," it said.
'Risk to Erode Trust'
The regulator's announcement said: "Our probe found that the documentary's lack of disclosure that the voice's parent served in a role in the Hamas-controlled administration was materially misleading.
"It meant that the public did not have vital facts which may have been highly relevant to their judgment of the presenter and the information he provided.
"Trust is at the heart of the bond between a television network and its public, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the possibility to undermine the significantly high amounts of credibility that viewers would have put in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in the month of February after the boy's familial connections emerged, and in July an broadcaster's internal assessment concluded it violated the corporation's editorial guidelines on accuracy.
A corporation official said: "The regulator's decision is in accordance with the results of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the penalty as soon as the date and wording are finalised."
