The public service broadcaster was found to have committed a "significant breach" of media regulations by failing to disclose that the narrator of a film about the Gaza conflict was the son of a Hamas administrator, according to regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The authority has ordered the broadcaster to transmit a prime-time statement about its conclusions.
"Given this constitutes a major infringement of our regulations, we are instructing the corporation to broadcast a announcement of our conclusions against it on BBC2 at 9pm, with a schedule to be determined," the statement read.
'Possibility to Erode Trust'
The authority's statement declared: "Our investigation concluded that the programme's failure to disclose that the voice's male guardian occupied a position in the Hamas-run authority was materially misleading.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their judgment of the presenter and the information he shared.
"Trust is at the heart of the relationship between a television network and its audience, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the very considerable amounts of trust that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was removed from iPlayer in the month of February after the narrator's familial connections emerged, and in the month of July an broadcaster's internal assessment determined it violated the broadcaster's journalistic standards on accuracy.
A BBC spokesperson said: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we accept the regulator's ruling in its entirety. We will adhere to the directive as soon as the timing and wording are determined."