The public service broadcaster committed a "serious breach" of industry standards by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a significant failing in relation to accuracy".
The authority has ordered the broadcaster to transmit a prime-time announcement about its decisions.
"Given this constitutes a major infringement of our regulations, we are instructing the broadcaster to broadcast a message of our determinations against it on BBC Two at 21:00, with a timing to be finalised," the statement read.
'Possibility to Undermine Confidence'
The watchdog's announcement stated: "Our probe determined that the film's failure to disclose that the presenter's male guardian occupied a post in the Hamas-controlled administration was significantly deceptive.
"This implied that the viewers did not have critical information which may have been very significant to their evaluation of the presenter and the information he presented.
"Confidence is at the heart of the bond between a media organization and its audience, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the risk to erode the very considerable levels of confidence that the public would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was withdrawn from the BBC's streaming service in February after the boy's family links emerged, and in this past July an broadcaster's internal assessment found it infringed the organization's journalistic standards on accuracy.
A corporation official said: "The regulator's decision is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the regulator's ruling in complete. We will follow the penalty as soon as the timing and wording are finalised."
