The public service broadcaster engaged in a "serious breach" of industry standards by omitting to mention that the voice of a film about the Gaza situation was the son of a Hamas official, as determined by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "materially misleading".
The head of the BBC had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The regulator has directed the corporation to broadcast a prime-time statement about its findings.
"Since this amounts to a significant violation of our rules, we are ordering the BBC to transmit a announcement of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," it said.
'Risk to Erode Trust'
The authority's statement stated: "Our probe determined that the programme's lack of disclosure that the presenter's male guardian served in a role in the Hamas-run government was substantially inaccurate.
"This implied that the audience did not have critical information which may have been highly relevant to their assessment of the voice and the information he presented.
"Trust is at the center of the connection between a media organization and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable degrees of confidence that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the BBC's streaming service in February after the narrator's personal associations emerged, and in July an internal BBC review concluded it violated the corporation's journalistic standards on factual correctness.
A BBC spokesperson commented: "The authority's determination is in line with the conclusions of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we comply with the authority's determination in full. We will comply with the directive as soon as the timing and wording are determined."
