The public service broadcaster committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a film about the Gaza conflict was the child of a Hamas representative, as determined by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to truthfulness".
The authority has directed the corporation to transmit a prime-time declaration about its decisions.
"As this represents a significant violation of our regulations, we are ordering the broadcaster to air a announcement of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be finalised," it said.
'Possibility to Damage Credibility'
The watchdog's statement stated: "The inquiry we conducted determined that the film's omission to reveal that the voice's parent held a post in the Hamas-run government was materially misleading.
"Consequently that the audience did not have critical information which may have been very significant to their judgment of the presenter and the content he presented.
"Trust is at the center of the bond between a media organization and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the significantly high degrees of confidence that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The film was removed from the BBC's streaming service in the month of February after the boy's family links came to light, and in the month of July an corporation's own inquiry found it violated the corporation's journalistic standards on accuracy.
A BBC spokesperson said: "The regulator's decision is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the regulator's ruling in complete. We will adhere to the penalty as soon as the date and language are confirmed."