The public service broadcaster engaged in a "serious breach" of broadcasting rules by omitting to mention that the narrator of a film about the Gaza conflict was the son of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a serious error in relation to truthfulness".
The authority has instructed the broadcaster to transmit a peak-time declaration about its decisions.
"As this represents a serious breach of our rules, we are instructing the BBC to broadcast a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Potential to Erode Confidence'
The watchdog's report stated: "The inquiry we conducted determined that the film's failure to disclose that the voice's father occupied a position in the Hamas-run government was substantially inaccurate.
"This implied that the audience did not have critical information which may have been very significant to their assessment of the presenter and the details he shared.
"Credibility is at the center of the relationship between a broadcaster and its public, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to undermine the exceptionally strong levels of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was pulled from the online platform in last February after the boy's family links were revealed, and in this past July an internal BBC review concluded it violated the broadcaster's content policies on factual correctness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which corresponds to clause 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will adhere to the directive as soon as the date and wording are determined."