The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the voice of a film about the Gaza conflict was the son of a Hamas official, according to regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had previously apologised, noting there had been "a serious error in relation to factual correctness".
The authority has directed the broadcaster to air a prime-time statement about its findings.
"As this represents a significant violation of our regulations, we are directing the BBC to transmit a announcement of our findings against it on BBC Two at 9pm, with a schedule to be finalised," the regulator stated.
'Potential to Erode Credibility'
The regulator's statement stated: "Our investigation found that the documentary's omission to reveal that the narrator's father served in a post in the Hamas-run administration was significantly deceptive.
"It meant that the public did not have essential details which may have been extremely pertinent to their assessment of the voice and the details he presented.
"Confidence is at the center of the bond between a broadcaster and its audience, notably for a public service broadcaster such as the BBC.
"This error had the potential to damage the very considerable amounts of credibility that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in February after the presenter's personal associations came to light, and in this past July an internal BBC review determined it infringed the organization's journalistic standards on truthfulness.
A corporation official said: "The Ofcom ruling is in line with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the schedule and wording are determined."