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 Gaza was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to accuracy".
The regulator has directed the broadcaster to broadcast a evening announcement about its conclusions.
"As this represents a major infringement of our regulations, we are ordering the BBC 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.
'Risk to Undermine Confidence'
The watchdog's report said: "Our investigation concluded that the film's lack of disclosure that the voice's male guardian occupied a position in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the voice and the details he provided.
"Credibility is at the heart of the bond between a media organization and its public, notably for a state-funded media outlet such as the BBC.
"This failing had the possibility to erode the significantly high degrees of confidence that viewers would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from the online platform in the month of February after the narrator's family links emerged, and in July an broadcaster's internal assessment concluded it infringed the broadcaster's content policies on accuracy.
A BBC spokesperson stated: "The regulator's decision is in accordance with the results of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in full. We will follow the directive as soon as the date and wording are determined."