The public service broadcaster committed a "major breach" of media regulations by omitting to mention that the narrator of a film about the Gaza situation was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the programme was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the BBC to transmit a prime-time announcement about its conclusions.
"Since this amounts to a major infringement of our regulations, we are instructing the broadcaster to transmit a announcement of our conclusions against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," the regulator stated.
'Possibility to Erode Credibility'
The authority's announcement stated: "Our probe determined that the film's lack of disclosure that the presenter's father held a post in the Hamas-run government was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been extremely pertinent to their assessment of the voice and the content he provided.
"Confidence is at the core of the connection between a broadcaster and its public, notably for a state-funded media outlet such as the public broadcaster.
"This oversight had the potential to erode the very considerable levels of trust that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The documentary was pulled from the online platform in last February after the boy's familial connections emerged, and in July an broadcaster's internal assessment found it breached the broadcaster's content policies on truthfulness.
A BBC spokesperson said: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a major oversight in the documentary in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with Ofcom's decision in complete. We will follow the directive as soon as the schedule and language are determined."