The British broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the narrator of a programme about Gaza was the son of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An inquiry by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The BBC's director general had already issued an apology, stating there had been "a significant failing in relation to accuracy".
The authority has instructed the BBC to air a prime-time statement about its conclusions.
"Given this constitutes a significant violation of our code, we are directing the broadcaster to broadcast a statement of our determinations against it on BBC2 at 21:00, with a date to be finalised," it said.
'Potential to Damage Credibility'
The authority's statement stated: "Our investigation found that the documentary's failure to disclose that the presenter's father occupied a post in the Hamas-administered government was significantly deceptive.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the information he provided.
"Confidence is at the heart of the bond between a media organization and its viewers, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to undermine the significantly high levels of credibility that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in February after the boy's family links emerged, and in the month of July an broadcaster's internal assessment determined it violated the organization's journalistic standards on accuracy.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the results of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with the regulator's ruling in full. We will follow the penalty as soon as the date and wording are confirmed."