The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by not revealing that the narrator of a programme about the Gaza situation was the offspring of a Hamas official, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to accuracy".
Ofcom has instructed the BBC to broadcast a peak-time declaration about its conclusions.
"Since this amounts to a major infringement of our regulations, we are ordering the broadcaster to air a statement of our findings against it on the BBC's second channel at 9pm, with a timing to be confirmed," it said.
'Risk to Damage Confidence'
The regulator's report said: "The inquiry we conducted concluded that the film's omission to reveal that the voice's male guardian occupied a role in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been very significant to their assessment of the narrator and the content he presented.
"Credibility is at the center of the relationship between a media organization and its public, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to erode the very considerable amounts of credibility that audiences would have put in a documentary produced by the BBC about the Gaza conflict."
The documentary was pulled from the BBC's streaming service in the month of February after the narrator's personal associations emerged, and in July an internal BBC review concluded it violated the corporation's content policies on factual correctness.
A representative for the broadcaster commented: "The regulator's decision is in line with the results of Peter Johnston's review, that there was a serious error in the programme in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the timing and language are determined."