The public service broadcaster engaged in a "major breach" of industry standards by omitting to mention that the voice of a programme about Gaza was the child of a Hamas administrator, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to factual correctness".
Ofcom has ordered the broadcaster to transmit a peak-time declaration about its conclusions.
"Given this constitutes a major infringement of our rules, we are ordering the BBC to air a announcement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be confirmed," the statement read.
'Potential to Damage Credibility'
The authority's statement stated: "Our investigation found that the documentary's omission to reveal that the narrator's parent served in a post in the Hamas-run administration was substantially inaccurate.
"This implied that the audience did not have essential details which may have been very significant to their evaluation of the presenter and the details he presented.
"Confidence is at the core of the bond between a media organization and its audience, particularly for a public service broadcaster such as the BBC.
"This error had the potential to erode the significantly high amounts of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The film was pulled from iPlayer in February after the boy's familial connections emerged, and in this past July an internal BBC review determined it breached the corporation's content policies on truthfulness.
A corporation official commented: "The Ofcom ruling is in line with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we comply with the authority's determination in full. We will adhere to the sanction as soon as the schedule and language are determined."
