The British broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the voice of a programme about Gaza was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has determined that the film was "materially misleading".
The head of the BBC had earlier expressed regret, saying there had been "a significant failing in relation to accuracy".
The regulator has instructed the broadcaster to air a prime-time statement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to air a statement of our findings against it on BBC2 at 9pm, with a timing to be finalised," the statement read.
'Risk to Damage Confidence'
The regulator's statement stated: "Our probe found that the film's lack of disclosure that the voice's father occupied a post in the Hamas-administered authority was substantially inaccurate.
"This implied that the viewers did not have vital facts which may have been very significant to their assessment of the presenter and the details he shared.
"Confidence is at the center of the connection between a media organization and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to damage the very considerable degrees of credibility that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the online platform in the month of February after the boy's family links were revealed, and in July an broadcaster's internal assessment determined it infringed the organization's content policies on truthfulness.
A corporation official said: "The authority's determination is in accordance with the findings of the internal assessment, that there was a serious error in the programme in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we accept the authority's determination in full. We will comply with the directive as soon as the schedule and wording are confirmed."