The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the narrator of a programme about the Gaza situation was the child of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to factual correctness".
The authority has directed the broadcaster to broadcast a prime-time statement about its decisions.
"Given this constitutes a significant violation of our code, we are instructing the corporation to air a statement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a date to be finalised," it said.
'Risk to Undermine Trust'
The authority's announcement stated: "Our probe found that the film's failure to disclose that the voice's father occupied a post in the Hamas-run government was significantly deceptive.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the content he presented.
"Confidence is at the center of the bond between a broadcaster and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the risk to undermine the significantly high levels of credibility that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from iPlayer in February after the presenter's family links came to light, and in this past July an internal BBC review determined it violated the organization's editorial guidelines on factual correctness.
A corporation official stated: "The authority's determination is in accordance 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 factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are determined."
