The public service broadcaster was found to have committed a "major breach" of media regulations by not revealing that the voice of a documentary about the Gaza situation was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
The regulator has ordered the broadcaster to transmit a prime-time statement about its conclusions.
"As this represents a serious breach of our regulations, we are directing the corporation to broadcast a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," it said.
'Potential to Undermine Trust'
The regulator's statement declared: "Our probe found that the documentary's lack of disclosure that the presenter's father held a post in the Hamas-run government was significantly deceptive.
"Consequently that the audience did not have critical information which may have been highly relevant to their assessment of the voice and the details he presented.
"Confidence is at the heart of the connection between a television network and its audience, especially for a public service broadcaster such as the BBC.
"This oversight had the possibility to undermine the exceptionally strong degrees of credibility that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The film was removed from iPlayer in last February after the narrator's personal associations were revealed, and in the month of July an internal BBC review concluded it violated the corporation's content policies on accuracy.
A corporation official said: "The Ofcom ruling is in agreement with the conclusions of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we agree with Ofcom's decision in full. We will adhere to the sanction as soon as the timing and wording are finalised."
