The public service broadcaster was found to have committed a "major breach" of media regulations by not revealing that the narrator of a programme about the Gaza conflict was the offspring of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to factual correctness".
The authority has directed the corporation to air a peak-time declaration about its decisions.
"As this represents a serious breach of our rules, we are directing the broadcaster to broadcast a message of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," it said.
'Risk to Damage Credibility'
The regulator's announcement stated: "Our probe determined that the programme's omission to reveal that the presenter's male guardian served in a position in the Hamas-controlled government was substantially inaccurate.
"Consequently that the public did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the content he presented.
"Trust is at the heart of the relationship between a media organization and its public, notably for a public service broadcaster such as the BBC.
"This failing had the risk to undermine the significantly high levels of trust that audiences would have invested in a BBC factual programme about the Israel-Gaza war."
The film was removed from iPlayer in the month of February after the narrator's familial connections emerged, and in the month of July an corporation's own inquiry found it infringed the corporation's editorial guidelines on accuracy.
A corporation official said: "The authority's determination is in line with the results of the internal assessment, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in full. We will adhere to the directive as soon as the date and language are finalised."
