The public service broadcaster engaged in a "significant breach" of industry standards by not revealing that the voice of a programme about the Gaza conflict was the son of a Hamas official, as determined by regulatory body Ofcom.
An probe by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a serious error in relation to accuracy".
Ofcom has instructed the BBC to air a peak-time announcement about its conclusions.
"As this represents a significant violation of our regulations, we are ordering the BBC to air a message of our determinations against it on BBC2 at 9pm, with a schedule to be finalised," the statement read.
'Risk to Erode Credibility'
The regulator's statement declared: "Our investigation determined that the film's lack of disclosure that the voice's male guardian held a role in the Hamas-administered government was substantially inaccurate.
"This implied that the audience did not have essential details which may have been highly relevant to their judgment of the narrator and the content he presented.
"Credibility is at the core of the bond between a media organization and its viewers, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the risk to undermine the significantly high degrees of credibility that the public would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from the BBC's streaming service in the month of February after the narrator's familial connections came to light, and in the month of July an broadcaster's internal assessment found it infringed the corporation's journalistic standards on factual correctness.
A corporation official commented: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in complete. We will comply with the sanction as soon as the schedule and language are finalised."