The public service broadcaster engaged in a "significant breach" of industry standards by not revealing that the narrator of a programme about the Gaza conflict was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to truthfulness".
The authority has instructed the broadcaster to broadcast a evening announcement about its findings.
"Given this constitutes a significant violation of our rules, we are ordering the broadcaster to transmit a announcement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," the regulator stated.
'Possibility to Erode Confidence'
The regulator's statement said: "Our probe concluded that the film's omission to reveal that the voice's parent held a position in the Hamas-administered government was significantly deceptive.
"It meant that the public did not have critical information which may have been very significant to their judgment of the presenter and the details he provided.
"Credibility is at the heart of the relationship between a media organization and its viewers, particularly for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to damage the exceptionally strong degrees of credibility that audiences would have put in a BBC factual programme about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in last February after the narrator's family links came to light, and in July an broadcaster's internal assessment found it breached the corporation's editorial guidelines on truthfulness.
A BBC spokesperson commented: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a significant failing in the programme in relation to the corporation's content standards on accuracy, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will adhere to the directive as soon as the schedule and language are confirmed."