The public service broadcaster engaged in a "significant breach" of industry standards by omitting to mention that the voice of a film about the Gaza conflict was the offspring of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to accuracy".
The regulator has directed the BBC to air a evening declaration about its findings.
"As this represents a significant violation of our code, we are ordering the broadcaster to transmit a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be finalised," the statement read.
'Possibility to Undermine Confidence'
The regulator's statement said: "Our probe concluded that the film's lack of disclosure that the narrator's father served in a role in the Hamas-administered authority was significantly deceptive.
"This implied that the viewers did not have critical information which may have been highly relevant to their assessment of the narrator and the content he presented.
"Credibility is at the heart of the connection between a media organization and its public, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the risk to erode the exceptionally strong amounts of credibility that audiences would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was pulled from iPlayer in the month of February after the narrator's personal associations came to light, and in July an internal BBC review determined it breached the broadcaster's content policies on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in agreement with the findings of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to clause 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the regulator's ruling in its entirety. We will adhere to the penalty as soon as the schedule and wording are finalised."