The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by omitting to mention that the voice of a documentary about Gaza was the son of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a serious error in relation to factual correctness".
The authority has directed the BBC to air a peak-time statement about its conclusions.
"Given this constitutes a major infringement of our code, we are instructing the corporation to broadcast a message of our determinations against it on the BBC's second channel at 21:00, with a timing to be finalised," the statement read.
'Potential to Erode Trust'
The authority's statement declared: "Our investigation determined that the programme's lack of disclosure that the voice's male guardian occupied a position in the Hamas-controlled government was materially misleading.
"It meant that the viewers did not have critical information which may have been highly relevant to their evaluation of the narrator and the details he shared.
"Trust is at the core of the relationship between a broadcaster and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the possibility to erode the significantly high degrees of confidence that viewers would have invested in a BBC factual programme about the Israel-Gaza war."
The film was withdrawn from the BBC's streaming service in last February after the boy's familial connections came to light, and in the month of July an corporation's own inquiry found it violated the broadcaster's journalistic standards on truthfulness.
A corporation official said: "The regulator's decision is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the documentary in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will follow the sanction as soon as the schedule and wording are finalised."