The public service broadcaster committed a "major breach" of media regulations by not revealing that the voice of a documentary about the Gaza situation was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
The authority has ordered the BBC to transmit a peak-time declaration about its decisions.
"As this represents a serious breach of our rules, we are directing the broadcaster to transmit a statement of our determinations against it on BBC Two at 21:00, with a schedule to be finalised," it said.
'Risk to Erode Trust'
The regulator's report said: "Our probe concluded that the programme's lack of disclosure that the voice's father occupied a role in the Hamas-run administration was materially misleading.
"This implied that the public did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the information he shared.
"Confidence is at the center of the connection between a television network and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to undermine the significantly high levels of confidence that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was pulled from the online platform in last February after the presenter's familial connections emerged, and in July an corporation's own inquiry determined it infringed the corporation's journalistic standards on truthfulness.
A corporation official commented: "The authority's determination is in accordance with the conclusions of Peter Johnston's review, that there was a serious error in the film in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the date and language are finalised."
