The public service broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a film about the Gaza conflict was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The head of the BBC had already issued an apology, noting there had been "a major oversight in relation to accuracy".
The regulator has ordered the BBC to transmit a evening declaration about its decisions.
"As this represents a serious breach of our code, we are instructing the broadcaster to transmit a statement of our determinations against it on the BBC's second channel at 9pm, with a timing to be finalised," the regulator stated.
'Risk to Erode Credibility'
The watchdog's statement stated: "Our investigation concluded that the film's omission to reveal that the narrator's male guardian held a role in the Hamas-administered administration was substantially inaccurate.
"It meant that the public did not have essential details which may have been very significant to their judgment of the voice and the information he provided.
"Confidence is at the core of the bond between a television network and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the very considerable amounts of confidence that the public would have invested in a BBC factual programme about the Israel-Gaza war."
The documentary was pulled from the online platform in February after the presenter's family links were revealed, and in July an broadcaster's internal assessment determined it violated the broadcaster's content policies on accuracy.
A corporation official stated: "The regulator's decision is in line with the findings of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on accuracy, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with Ofcom's decision in full. We will follow the penalty as soon as the timing and wording are finalised."
