The public service broadcaster committed a "major breach" of media regulations by not revealing that the narrator of a film about the Gaza situation was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by Ofcom into Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, saying there had been "a serious error in relation to accuracy".
The regulator has ordered the broadcaster to transmit a prime-time announcement about its findings.
"Since this amounts to a significant violation of our rules, we are directing the corporation to broadcast a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Potential to Damage Credibility'
The watchdog's announcement stated: "Our investigation found that the film's lack of disclosure that the voice's male guardian held a role in the Hamas-administered government was significantly deceptive.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the presenter and the details he shared.
"Confidence is at the core of the relationship between a television network and its audience, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the possibility to damage the exceptionally strong levels of credibility that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from iPlayer in the month of February after the boy's family links emerged, and in July an broadcaster's internal assessment found it breached the corporation's content policies on factual correctness.
A corporation official commented: "The regulator's decision is in line with the conclusions of the corporation's inquiry, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in full. We will comply with the sanction as soon as the schedule and wording are confirmed."