The public service broadcaster was found to have committed a "significant breach" of industry standards by not revealing that the voice of a film about the Gaza situation was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The regulator has directed the corporation to transmit a peak-time declaration about its findings.
"As this represents a significant violation of our code, we are directing the broadcaster to broadcast a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be determined," the statement read.
'Possibility to Erode Trust'
The regulator's announcement stated: "The inquiry we conducted found that the film's lack of disclosure that the voice's male guardian occupied a position in the Hamas-run government was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their assessment of the presenter and the content he shared.
"Trust is at the core of the relationship between a television network and its audience, notably for a national broadcasting corporation such as the BBC.
"This error had the potential to damage the very considerable levels of trust that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from iPlayer in the month of February after the presenter's familial connections were revealed, and in the month of July an broadcaster's internal assessment determined it violated the corporation's editorial guidelines on accuracy.
A representative for the broadcaster stated: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept Ofcom's decision in full. We will follow the directive as soon as the schedule and wording are finalised."
