The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the presenter of a documentary about the Gaza situation was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to factual correctness".
Ofcom has directed the BBC to air a prime-time statement about its decisions.
"Since this amounts to a major infringement of our code, we are directing the broadcaster to broadcast a announcement of our conclusions against it on BBC2 at 21:00, with a timing to be finalised," the regulator stated.
'Possibility to Erode Credibility'
The watchdog's announcement declared: "Our probe determined that the film's omission to reveal that the voice's father held a post in the Hamas-run government was substantially inaccurate.
"Consequently that the viewers did not have vital facts which may have been extremely pertinent to their judgment of the narrator and the content he presented.
"Trust is at the center of the connection between a television network and its viewers, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable amounts of credibility that the public would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The programme was withdrawn from iPlayer in last February after the boy's family links came to light, and in the month of July an corporation's own inquiry determined it infringed the broadcaster's content policies on accuracy.
A corporation official said: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept Ofcom's decision in complete. We will follow the directive as soon as the timing and language are finalised."