The public service broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by regulatory body Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a significant failing in relation to truthfulness".
The regulator has directed the broadcaster to air a evening announcement about its findings.
"Since this amounts to a serious breach of our code, we are directing the corporation to broadcast a announcement of our findings against it on BBC Two at 21:00, with a schedule to be confirmed," the regulator stated.
'Potential to Erode Confidence'
The watchdog's statement declared: "Our probe found that the programme's lack of disclosure that the voice's male guardian held a position in the Hamas-controlled government was significantly deceptive.
"This implied that the audience did not have essential details which may have been highly relevant to their judgment of the narrator and the content he provided.
"Confidence is at the core of the relationship between a broadcaster and its audience, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the risk to undermine the exceptionally strong amounts of trust that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from the BBC's streaming service in the month of February after the boy's family links emerged, and in the month of July an internal BBC review concluded it breached the organization's editorial guidelines on accuracy.
A BBC spokesperson said: "The authority's determination is in line with the conclusions of Peter Johnston's review, that there was a significant failing in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we comply with the authority's determination in complete. We will comply with the sanction as soon as the date and wording are determined."