The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the presenter of a programme about the Gaza conflict was the child of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a serious error in relation to accuracy".
The regulator has ordered the broadcaster to transmit a peak-time announcement about its findings.
"Since this amounts to a major infringement of our rules, we are instructing the corporation to transmit a message of our conclusions against it on the BBC's second channel at 21:00, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Trust'
The authority's statement stated: "Our probe concluded that the documentary's omission to reveal that the presenter's parent occupied a post in the Hamas-controlled government was materially misleading.
"It meant that the public did not have critical information which may have been highly relevant to their judgment of the voice and the details he shared.
"Credibility is at the center of the connection between a broadcaster and its audience, particularly for a public service broadcaster such as the public broadcaster.
"This oversight had the risk to erode the significantly high amounts of trust that audiences would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in February after the narrator's personal associations came to light, and in this past July an internal BBC review determined it violated the organization's journalistic standards on factual correctness.
A representative for the broadcaster commented: "The authority's determination is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the regulator's ruling in full. We will follow the penalty as soon as the date and wording are finalised."
