The public service broadcaster was found to have committed a "serious breach" of broadcasting rules by omitting to mention that the voice of a documentary about Gaza was the son of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to transmit a prime-time statement about its conclusions.
"Given this constitutes a significant violation of our rules, we are ordering the broadcaster to broadcast a statement of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," the regulator stated.
'Potential to Damage Confidence'
The watchdog's report said: "Our probe concluded that the film's lack of disclosure that the narrator's male guardian held a role in the Hamas-run administration was substantially inaccurate.
"It meant that the public did not have critical information which may have been highly relevant to their evaluation of the presenter and the content he provided.
"Credibility is at the core of the relationship between a broadcaster and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This failing had the possibility to damage the significantly high levels of credibility that viewers would have put in a documentary produced by the BBC about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in last February after the narrator's personal associations came to light, and in July an internal BBC review determined it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 truthfulness.
A corporation official stated: "The regulator's decision is in agreement with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on factual correctness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the regulator's ruling in its entirety. We will follow the directive as soon as the date and wording are confirmed."