The public service broadcaster engaged in a "major breach" of industry standards by not revealing that the presenter of a film about Gaza was the offspring of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a major oversight in relation to truthfulness".
The regulator has directed the BBC to broadcast a peak-time announcement about its conclusions.
"Since this amounts to a serious breach of our regulations, we are instructing the broadcaster to broadcast a message of our findings against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," it said.
'Possibility to Erode Trust'
The authority's announcement declared: "The inquiry we conducted found that the documentary's lack of disclosure that the voice's parent served in a position in the Hamas-controlled administration was materially misleading.
"This implied that the audience did not have critical information which may have been extremely pertinent to their judgment of the narrator and the details he shared.
"Confidence is at the heart of the connection between a television network and its viewers, particularly for a public service broadcaster such as the public broadcaster.
"This failing had the potential to erode the significantly high amounts of trust that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in February after the narrator's familial connections were revealed, and in this past July an internal BBC review determined it infringed the corporation's journalistic standards on factual correctness.
A corporation official commented: "The authority's determination is in accordance with the findings of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will adhere to the directive as soon as the schedule and wording are determined."
