The public service broadcaster committed a "major breach" of broadcasting rules by omitting to mention that the narrator of a programme about the Gaza conflict was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a serious error in relation to accuracy".
Ofcom has ordered the BBC to broadcast a evening announcement about its conclusions.
"Given this constitutes a significant violation of our code, we are ordering the corporation to transmit a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Risk to Undermine Confidence'
The watchdog's announcement stated: "Our probe determined that the documentary's omission to reveal that the voice's father occupied a role in the Hamas-administered authority was substantially inaccurate.
"This implied that the audience did not have critical information which may have been extremely pertinent to their judgment of the narrator and the content he provided.
"Confidence is at the center of the connection between a media organization and its audience, especially for a public service broadcaster such as the public broadcaster.
"This failing had the possibility to damage the very considerable levels of trust that the public would have invested 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 presenter's personal associations emerged, and in July an corporation's own inquiry determined it infringed the corporation's content policies on truthfulness.
A BBC spokesperson said: "The regulator's decision is in line with the conclusions of the corporation's inquiry, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which reflects regulation 2.2 of the regulator's media standards.
"We have apologised for this and we agree with Ofcom's decision in full. We will follow the penalty as soon as the schedule and language are finalised."