The public service broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the narrator of a film about the Gaza situation was the offspring of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to truthfulness".
The authority has directed the broadcaster to air a evening announcement about its findings.
"Given this constitutes a serious breach of our regulations, we are ordering the BBC to broadcast a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Potential to Erode Credibility'
The watchdog's report said: "The inquiry we conducted concluded that the film's lack of disclosure that the voice's father held a role in the Hamas-administered administration was materially misleading.
"Consequently that the public did not have critical information which may have been highly relevant to their judgment of the narrator and the details he shared.
"Trust is at the core of the relationship between a television network and its viewers, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to erode the exceptionally strong degrees of credibility that the public would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from the online platform in February after the boy's personal associations emerged, and in July an broadcaster's internal assessment concluded it breached the broadcaster's content policies on accuracy.
A corporation official said: "The authority's determination is in agreement with the results of the internal assessment, that there was a major oversight in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in full. We will comply with the sanction as soon as the schedule and wording are determined."