The public service broadcaster committed a "serious breach" of industry standards by failing to disclose that the narrator of a programme about Gaza was the child of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to accuracy".
Ofcom has instructed the BBC to transmit a evening declaration about its findings.
"Given this constitutes a serious breach of our code, 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 schedule to be confirmed," it said.
'Possibility to Undermine Confidence'
The authority's announcement declared: "Our probe concluded that the programme's failure to disclose that the presenter's parent held a position in the Hamas-run government was materially misleading.
"Consequently that the public did not have critical information which may have been very significant to their judgment of the presenter and the details he shared.
"Credibility is at the heart of the relationship between a media organization and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This error had the possibility to erode the exceptionally strong levels of credibility that viewers would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the BBC's streaming service in February after the boy's personal associations emerged, and in this past July an broadcaster's internal assessment concluded it infringed the corporation's editorial guidelines on truthfulness.
A corporation official commented: "The authority's determination is in accordance with the results of the internal assessment, that there was a major oversight in the film in relation to the BBC's Editorial Guidelines on truthfulness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in its entirety. We will adhere to the sanction as soon as the schedule and language are confirmed."