The public service broadcaster committed a "significant breach" of industry standards by omitting to mention that the presenter of a documentary about Gaza was the child 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 determined that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has instructed the BBC to broadcast a peak-time declaration about its conclusions.
"Since this amounts to a serious breach of our rules, we are instructing the corporation to air a announcement of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," it said.
The authority's announcement stated: "The inquiry we conducted determined that the film's omission to reveal that the presenter's male guardian served in a post in the Hamas-controlled administration 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 presented.
"Confidence is at the heart of the connection between a television network and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to erode the significantly high levels of confidence that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from the BBC's streaming service in the month of February after the narrator's familial connections emerged, and in the month of July an corporation's own inquiry determined it infringed the corporation's content policies on truthfulness.
A BBC spokesperson stated: "The regulator's decision is in line with the results of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in full. We will follow the directive as soon as the date and wording are determined."
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