The public service broadcaster engaged in a "serious breach" of industry standards by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas representative, according to UK media regulator Ofcom.
An probe 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 previously apologised, saying there had been "a significant failing in relation to accuracy".
Ofcom has instructed the corporation to transmit a evening announcement about its decisions.
"Given this constitutes a major infringement of our regulations, we are directing the broadcaster to transmit a statement of our determinations against it on the BBC's second channel at 9pm, with a date to be confirmed," the regulator stated.
'Possibility to Erode Trust'
The authority's announcement stated: "The inquiry we conducted found that the documentary's failure to disclose that the voice's parent served in a post in the Hamas-run administration was materially misleading.
"This implied that the audience did not have vital facts which may have been very significant to their assessment of the narrator and the content he shared.
"Credibility is at the heart of the bond between a broadcaster and its audience, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the risk to damage the significantly high levels of trust that audiences would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was withdrawn from the BBC's streaming service in last February after the narrator's personal associations emerged, and in the month of July an broadcaster's internal assessment concluded it violated the broadcaster's editorial guidelines on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the conclusions of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the regulator's ruling in complete. We will adhere to the sanction as soon as the date and wording are confirmed."