The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the voice of a documentary about Gaza was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An investigation by Ofcom into the documentary titled Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to truthfulness".
The regulator has directed the corporation to air a evening announcement about its decisions.
"Given this constitutes a major infringement of our regulations, we are ordering the corporation to transmit a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," it said.
'Risk to Damage Trust'
The authority's announcement said: "Our probe concluded that the film's lack of disclosure that the voice's parent occupied a role in the Hamas-controlled administration was substantially inaccurate.
"It meant that the audience did not have critical information which may have been extremely pertinent to their judgment of the voice and the details he shared.
"Credibility is at the heart of the relationship between a media organization and its audience, notably for a national broadcasting corporation such as the BBC.
"This error had the risk to undermine the significantly high degrees of credibility that the public would have invested in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from the BBC's streaming service in February after the boy's personal associations emerged, and in July an broadcaster's internal assessment determined it infringed the broadcaster's content policies on factual correctness.
A corporation official commented: "The regulator's decision is in accordance with the conclusions of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, 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 sanction as soon as the schedule and language are finalised."