The British broadcaster committed a "major breach" of media regulations by omitting to mention that the narrator of a programme about the Gaza situation was the offspring of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The head of the BBC had already issued an apology, noting there had been "a significant failing in relation to truthfulness".
Ofcom has directed the corporation to air a peak-time declaration about its decisions.
"Since this amounts to a major infringement of our regulations, we are ordering the broadcaster to air a statement of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be determined," it said.
'Risk to Damage Credibility'
The authority's announcement stated: "Our probe concluded that the documentary's failure to disclose that the narrator's father occupied a position in the Hamas-controlled authority was substantially inaccurate.
"This implied that the audience did not have critical information which may have been extremely pertinent to their judgment of the voice and the details he presented.
"Trust is at the heart of the connection between a broadcaster and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to erode the exceptionally strong amounts of credibility that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The programme was withdrawn from the BBC's streaming service in February after the boy's personal associations were revealed, and in this past July an broadcaster's internal assessment determined it infringed the broadcaster's journalistic standards on truthfulness.
A corporation official commented: "The Ofcom ruling is in accordance with the results of the corporation's inquiry, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology 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 determined."