The public service broadcaster was found to have 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 representative, according to regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
The regulator has directed the corporation to transmit a peak-time announcement about its findings.
"As this represents a significant violation of our rules, we are ordering the corporation to air a statement of our findings against it on BBC2 at 21:00, with a schedule to be confirmed," the regulator stated.
'Potential to Erode Trust'
The watchdog's statement declared: "Our investigation concluded that the programme's lack of disclosure that the narrator's male guardian held a post in the Hamas-run government was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their evaluation of the presenter and the details he shared.
"Confidence is at the core of the relationship between a television network and its viewers, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the risk to erode the significantly high levels of confidence that audiences would have invested in a BBC factual programme about the Gaza conflict."
The documentary was pulled from iPlayer in February after the boy's familial connections emerged, and in the month of July an corporation's own inquiry found it breached the broadcaster's content policies on truthfulness.
A corporation official commented: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the authority's determination in its entirety. We will follow the sanction as soon as the timing and language are confirmed."