The public service broadcaster was found to have committed a "major breach" of broadcasting rules by not revealing that the voice of a programme about Gaza was the offspring of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
The authority has directed the broadcaster to transmit a peak-time declaration about its decisions.
"Given this constitutes a significant violation of our regulations, we are ordering the broadcaster to transmit a statement of our conclusions against it on the BBC's second channel at 9pm, with a date to be determined," the regulator stated.
'Risk to Damage Credibility'
The regulator's report stated: "Our investigation concluded that the film's lack of disclosure that the narrator's male guardian held a role in the Hamas-administered government was materially misleading.
"This implied that the audience did not have critical information which may have been very significant to their judgment of the narrator and the content he presented.
"Trust is at the center of the bond between a television network and its public, particularly for a national broadcasting corporation such as the BBC.
"This oversight had the possibility to undermine the very considerable levels of confidence that viewers would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in the month of February after the presenter's personal associations came to light, and in July an broadcaster's internal assessment determined it infringed the corporation's editorial guidelines on factual correctness.
A corporation official stated: "The regulator's decision is in agreement with the conclusions of the corporation's inquiry, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept Ofcom's decision in full. We will adhere to the penalty as soon as the date and wording are determined."