The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the voice of a film about the Gaza situation was the child of a Hamas representative, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the programme was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a major oversight in relation to truthfulness".
The regulator has ordered the corporation to broadcast a peak-time statement about its decisions.
"Since this amounts to a significant violation of our rules, we are instructing the corporation to broadcast a message of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the statement read.
'Potential to Undermine Trust'
The authority's report declared: "Our probe determined that the film's failure to disclose that the voice's male guardian occupied a role in the Hamas-run administration was materially misleading.
"Consequently that the public did not have critical information which may have been very significant to their judgment of the narrator and the content he provided.
"Confidence is at the center of the connection between a broadcaster and its viewers, especially for a state-funded media outlet such as the BBC.
"This error had the possibility to undermine the very considerable amounts of credibility that audiences would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was removed from iPlayer in last February after the boy's family links were revealed, and in the month of July an broadcaster's internal assessment found it infringed the organization's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in agreement with the conclusions of the internal assessment, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on factual correctness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the regulator's ruling in complete. We will follow the directive as soon as the timing and wording are confirmed."