The public service broadcaster was found to have committed a "significant breach" of industry standards by failing to disclose that the narrator of a film about the Gaza conflict was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a serious error in relation to accuracy".
The authority has ordered the corporation to transmit a prime-time statement about its conclusions.
"Since this amounts to a major infringement of our rules, we are directing the BBC to broadcast a statement of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Risk to Undermine Trust'
The authority's statement stated: "Our investigation concluded that the programme's failure to disclose that the presenter's male guardian served in a role in the Hamas-run government was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been extremely pertinent to their evaluation of the voice and the content he presented.
"Credibility is at the core of the connection between a media organization and its audience, particularly for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable levels of confidence that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The film was pulled from iPlayer in the month of February after the narrator's family links emerged, and in July an corporation's own inquiry found it infringed the corporation's content policies on accuracy.
A corporation official stated: "The authority's determination is in line with the conclusions 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 reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the authority's determination in its entirety. We will adhere to the sanction as soon as the timing and wording are finalised."
