The public service broadcaster committed a "significant breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the son of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, stating there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the BBC to broadcast a peak-time declaration about its findings.
"Given this constitutes a major infringement of our rules, we are ordering the corporation to broadcast a message of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be determined," the statement read.
'Risk to Erode Trust'
The regulator's report said: "The inquiry we conducted determined that the film's lack of disclosure that the voice's parent occupied a post in the Hamas-administered authority was materially misleading.
"It meant that the audience did not have vital facts which may have been highly relevant to their assessment of the presenter and the information he shared.
"Confidence is at the heart of the connection between a television network and its audience, notably for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable amounts of credibility that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the online platform in the month of February after the narrator's personal associations emerged, and in the month of July an internal BBC review concluded it breached the broadcaster's journalistic standards on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which aligns with clause 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the regulator's ruling in complete. We will follow the penalty as soon as the date and wording are finalised."