The public service broadcaster committed a "serious breach" of media regulations by omitting to mention that the voice of a programme about Gaza was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, stating there had been "a significant failing in relation to accuracy".
The regulator has ordered the corporation to air a prime-time statement about its conclusions.
"Given this constitutes a serious breach of our regulations, we are ordering the broadcaster to broadcast 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 determined," the statement read.
'Possibility to Undermine Credibility'
The regulator's announcement declared: "The inquiry we conducted concluded that the programme's lack of disclosure that the presenter's male guardian served in a position in the Hamas-controlled administration was materially misleading.
"Consequently that the public did not have essential details which may have been highly relevant to their judgment of the narrator and the content he presented.
"Confidence is at the center of the bond between a television network and its public, particularly for a state-funded media outlet such as the BBC.
"This failing had the possibility to damage the exceptionally strong degrees of trust that the public would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The programme was pulled from the BBC's streaming service in the month of February after the boy's personal associations came to light, and in the month of July an broadcaster's internal assessment determined it violated the broadcaster's editorial guidelines on accuracy.
A BBC spokesperson commented: "The authority's determination is in accordance with the results of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on truthfulness, which reflects clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the regulator's ruling in full. We will comply with the sanction as soon as the timing and language are confirmed."
