The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the voice of a programme about the Gaza conflict was the son of a Hamas representative, as determined by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to truthfulness".
The authority has directed the broadcaster to transmit a prime-time declaration about its decisions.
"Since this amounts to a significant violation of our rules, we are directing the broadcaster to transmit a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Risk to Damage Confidence'
The authority's statement said: "The inquiry we conducted determined that the documentary's failure to disclose that the voice's father occupied a position in the Hamas-run administration was substantially inaccurate.
"It meant that the audience did not have vital facts which may have been highly relevant to their assessment of the narrator and the details he presented.
"Trust is at the center of the connection between a media organization and its audience, especially for a national broadcasting corporation such as the BBC.
"This error had the potential to undermine the exceptionally strong amounts of trust that viewers would have placed in a BBC factual programme about the Gaza conflict."
The programme was withdrawn from iPlayer in last February after the boy's family links came to light, and in this past July an internal BBC review concluded it violated the corporation's journalistic standards on factual correctness.
A corporation official commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with the regulator's ruling in full. We will follow the sanction as soon as the timing and wording are determined."
