The British broadcaster committed a "significant breach" of industry standards by omitting to mention that the presenter of a programme about Gaza was the offspring of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has concluded that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, stating there had been "a serious error in relation to accuracy".
The regulator has instructed the corporation to transmit a prime-time declaration about its conclusions.
"As this represents a major infringement of our regulations, we are directing the BBC to air a message of our conclusions against it on BBC Two at 21:00, with a timing to be finalised," the statement read.
'Possibility to Erode Credibility'
The regulator's statement said: "Our investigation found that the film's failure to disclose that the narrator's parent occupied a position in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the information he shared.
"Credibility is at the center of the bond between a television network and its audience, especially for a public service broadcaster such as the BBC.
"This failing had the potential to undermine the very considerable amounts of credibility that the public would have invested in a factual film from the broadcaster about the Gaza conflict."
The programme was withdrawn from iPlayer in February after the boy's family links came to light, and in July an corporation's own inquiry determined it infringed the organization's journalistic standards on accuracy.
A corporation official commented: "The Ofcom ruling is in accordance with the findings of the corporation's inquiry, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will follow the penalty as soon as the date and wording are finalised."