The British broadcaster committed a "significant breach" of broadcasting rules by omitting to mention that the narrator of a programme about the Gaza conflict was the son of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The authority has instructed the broadcaster to air a peak-time announcement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are directing the BBC to air a message of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be confirmed," it said.
'Potential to Erode Confidence'
The regulator's report stated: "Our probe found that the programme's failure to disclose that the voice's male guardian served in a role in the Hamas-run administration was substantially inaccurate.
"Consequently that the public did not have vital facts which may have been highly relevant to their evaluation of the presenter and the information he shared.
"Trust is at the heart of the bond between a broadcaster and its viewers, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the significantly high degrees of credibility that audiences would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the BBC's streaming service in February after the boy's familial connections were revealed, and in July an corporation's own inquiry found it violated the broadcaster's content policies on truthfulness.
A BBC spokesperson said: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a serious error in the programme 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 agree with the authority's determination in complete. We will comply with the directive as soon as the timing and wording are finalised."