The public service broadcaster engaged in a "serious breach" of media regulations by failing to disclose that the voice of a programme about the Gaza conflict was the offspring of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had already issued an apology, stating there had been "a significant failing in relation to factual correctness".
Ofcom has instructed the broadcaster to broadcast a evening statement about its decisions.
"Since this amounts to a significant violation of our code, we are instructing the broadcaster to broadcast a announcement of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Potential to Damage Trust'
The authority's report declared: "The inquiry we conducted concluded that the film's failure to disclose that the voice's father occupied a post in the Hamas-run authority was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their assessment of the narrator and the content he presented.
"Credibility is at the center of the connection between a media organization and its audience, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the significantly high levels of credibility that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from the online platform in last February after the narrator's personal associations were revealed, and in July an broadcaster's internal assessment concluded it breached the corporation's editorial guidelines on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in line with the conclusions of Peter Johnston's review, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will comply with the penalty as soon as the schedule and wording are confirmed."