The British broadcaster committed a "major breach" of industry standards by omitting to mention that the narrator of a film about Gaza was the son of a Hamas official, as determined by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the broadcaster to air a prime-time declaration about its conclusions.
"Since this amounts to a major infringement of our code, we are directing the broadcaster to broadcast a announcement of our findings against it on BBC2 at 21:00, with a schedule to be confirmed," it said.
'Possibility to Undermine Confidence'
The authority's report declared: "The inquiry we conducted concluded that the documentary's lack of disclosure that the presenter's father held a role in the Hamas-run government was materially misleading.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their assessment of the presenter and the content he presented.
"Confidence is at the heart of the relationship between a television network and its public, notably for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable amounts of confidence that viewers would have put in a BBC factual programme about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in February after the narrator's personal associations came to light, and in July an broadcaster's internal assessment concluded it breached the broadcaster's editorial guidelines on accuracy.
A corporation official said: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on accuracy, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with Ofcom's decision in full. We will adhere to the directive as soon as the timing and wording are finalised."