The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the narrator of a documentary about the Gaza situation was the offspring of a Hamas representative, as determined by British broadcasting authority Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, saying there had been "a serious error in relation to factual correctness".
The regulator has directed the corporation to broadcast a prime-time announcement about its findings.
"Given this constitutes a serious breach of our rules, we are ordering the broadcaster to transmit a statement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Potential to Undermine Trust'
The authority's announcement stated: "The inquiry we conducted determined that the film's lack of disclosure that the voice's male guardian served in a role in the Hamas-run administration was materially misleading.
"This implied that the audience did not have essential details which may have been very significant to their judgment of the presenter and the content he presented.
"Credibility is at the heart of the connection between a media organization and its public, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to erode the exceptionally strong amounts of credibility that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from the online platform in February after the narrator's family links came to light, and in July an broadcaster's internal assessment determined it breached the corporation's journalistic standards on factual correctness.
A corporation official commented: "The Ofcom ruling is in line with the findings of the internal assessment, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the authority's determination in full. We will adhere to the sanction as soon as the schedule and wording are determined."