The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the narrator of a programme about Gaza was the offspring of a Hamas representative, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
The authority has directed the BBC to air a evening declaration about its findings.
"As this represents a serious breach of our code, we are directing the corporation to broadcast a statement of our conclusions against it on BBC Two at 9pm, with a schedule to be confirmed," the statement read.
'Possibility to Erode Confidence'
The authority's statement declared: "Our probe found that the programme's failure to disclose that the narrator's father held a role in the Hamas-administered authority was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been extremely pertinent to their evaluation of the presenter and the details he shared.
"Credibility is at the heart of the bond between a broadcaster and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the risk to erode the very considerable degrees of trust that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the online platform in the month of February after the boy's family links were revealed, and in the month of July an corporation's own inquiry determined it breached the corporation's content policies on factual correctness.
A corporation official said: "The Ofcom ruling is in accordance with the results of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will comply with the sanction as soon as the timing and language are confirmed."
