The public service broadcaster engaged in a "major breach" of broadcasting rules by not revealing that the narrator of a programme about Gaza was the child of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The authority has ordered the corporation to broadcast a prime-time announcement about its conclusions.
"As this represents a major infringement of our code, we are instructing the broadcaster to transmit a announcement of our determinations against it on BBC2 at 9pm, with a date to be determined," the statement read.
'Possibility to Undermine Confidence'
The regulator's statement said: "The inquiry we conducted concluded that the film's omission to reveal that the narrator's father served in a position in the Hamas-controlled administration was substantially inaccurate.
"It meant that the public did not have essential details which may have been highly relevant to their evaluation of the voice and the details he shared.
"Confidence is at the heart of the relationship between a television network and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the possibility to erode the exceptionally strong degrees of trust that the public would have invested in a BBC factual programme about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in last February after the presenter's personal associations were revealed, and in July an corporation's own inquiry determined it infringed the broadcaster's editorial guidelines on truthfulness.
A BBC spokesperson said: "The regulator's decision is in agreement with the results of the internal assessment, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which reflects clause 2.2 of the regulator's media standards.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will follow the sanction as soon as the schedule and wording are finalised."