The BBC committed a "major breach" of broadcasting rules by omitting to mention that the presenter of a programme about the Gaza situation was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An probe by Ofcom into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a serious error in relation to accuracy".
The authority has ordered the corporation to air a prime-time declaration about its decisions.
"Since this amounts to a significant violation of our code, we are directing the BBC to broadcast a statement of our findings against it on the BBC's second channel at 21:00, with a timing to be finalised," it said.
'Potential to Undermine Trust'
The regulator's statement declared: "The inquiry we conducted found that the film's failure to disclose that the narrator's parent held a position in the Hamas-controlled government was significantly deceptive.
"Consequently that the public did not have critical information which may have been highly relevant to their evaluation of the voice and the information he shared.
"Trust is at the center of the relationship between a television network and its audience, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight 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 conflict in Gaza."
The film was pulled from the BBC's streaming service in last February after the boy's personal associations were revealed, and in this past July an broadcaster's internal assessment found it breached the organization's journalistic standards on accuracy.
A BBC spokesperson commented: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will adhere to the penalty as soon as the schedule and language are finalised."