The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the narrator of a film about the Gaza situation was the offspring of a Hamas administrator, as determined by UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
The regulator has ordered the corporation to air a prime-time statement about its decisions.
"As this represents a significant violation of our code, we are ordering the BBC to broadcast a statement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Risk to Erode Trust'
The watchdog's report declared: "The inquiry we conducted concluded that the programme's omission to reveal that the presenter's male guardian held a role in the Hamas-controlled government was materially misleading.
"This implied that the public did not have critical information which may have been extremely pertinent to their evaluation of the voice and the details he shared.
"Credibility is at the center of the bond between a broadcaster and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to erode the exceptionally strong amounts of trust that audiences would have put in a documentary produced by the BBC about the Gaza conflict."
The film was pulled from the BBC's streaming service in February after the boy's family links emerged, and in July an broadcaster's internal assessment determined it infringed the corporation's editorial guidelines on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in accordance with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the authority's determination in complete. We will follow the directive as soon as the date and wording are finalised."