The public service broadcaster was found to have committed a "major breach" of media regulations by failing to disclose that the voice of a documentary about Gaza was the child of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The head of the BBC had already issued an apology, stating there had been "a major oversight in relation to factual correctness".
The authority has ordered the broadcaster to broadcast a peak-time declaration about its conclusions.
"As this represents a significant violation of our rules, we are directing the broadcaster to air a statement of our findings against it on the BBC's second channel at 21:00, with a timing to be determined," the regulator stated.
'Possibility to Erode Confidence'
The authority's statement declared: "Our investigation concluded that the film's failure to disclose that the narrator's parent held a post in the Hamas-controlled administration was materially misleading.
"This implied that the public did not have critical information which may have been extremely pertinent to their evaluation of the voice and the details he presented.
"Credibility is at the core of the relationship between a broadcaster and its audience, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the possibility to damage the significantly high amounts of trust that viewers would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from the online platform in the month of February after the boy's personal associations came to light, and in this past July an broadcaster's internal assessment determined it violated the broadcaster's journalistic standards on truthfulness.
A corporation official stated: "The authority's determination is in line with the findings of the internal assessment, that there was a major oversight in the programme in relation to the corporation's content standards on truthfulness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will adhere to the directive as soon as the timing and wording are confirmed."