The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a film about the Gaza situation was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, noting there had been "a significant failing in relation to accuracy".
Ofcom has ordered the BBC to transmit a peak-time announcement about its findings.
"As this represents a major infringement of our regulations, we are directing the broadcaster to transmit a announcement of our determinations against it on BBC2 at 21:00, with a timing to be confirmed," it said.
'Potential to Erode Trust'
The watchdog's announcement said: "Our probe found that the programme's omission to reveal that the narrator's father served in a role in the Hamas-run administration was substantially inaccurate.
"It meant that the public did not have critical information which may have been highly relevant to their assessment of the narrator and the information he shared.
"Confidence is at the heart of the bond between a television network and its viewers, especially for a public service broadcaster such as the British Broadcasting Corporation.
"This oversight had the risk to erode the exceptionally strong degrees of credibility that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was removed from the BBC's streaming service in February after the presenter's familial connections were revealed, and in July an broadcaster's internal assessment concluded it breached the organization's content policies on truthfulness.
A representative for the broadcaster commented: "The authority's determination is in agreement with the conclusions of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of the regulator's media standards.
"We have apologised for this and we agree with Ofcom's decision in full. We will follow the directive as soon as the date and wording are confirmed."
