The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the voice of a documentary about the Gaza conflict was the child of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The head of the BBC had already issued an apology, stating there had been "a serious error in relation to factual correctness".
Ofcom has ordered the corporation to air a peak-time declaration about its findings.
"Given this constitutes a serious breach of our rules, we are instructing the broadcaster to transmit a statement of our findings against it on BBC2 at 21:00, with a timing to be determined," it said.
'Potential to Undermine Confidence'
The authority's report declared: "The inquiry we conducted found that the documentary's failure to disclose that the voice's male guardian served in a role in the Hamas-administered authority was substantially inaccurate.
"This implied that the audience did not have essential details which may have been highly relevant to their evaluation of the voice and the content he provided.
"Confidence is at the core of the bond between a media organization and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the exceptionally strong levels of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in the month of February after the narrator's family links emerged, and in the month of July an corporation's own inquiry concluded it violated the organization's journalistic standards on truthfulness.
A BBC spokesperson commented: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the schedule and wording are finalised."
