The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the narrator of a film about Gaza was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The BBC's director general had previously apologised, noting there had been "a significant failing in relation to factual correctness".
The authority has instructed the corporation to broadcast a peak-time declaration about its findings.
"As this represents a serious breach of our regulations, we are ordering the corporation to transmit a statement of our determinations against it on BBC Two at 21:00, with a schedule to be confirmed," the statement read.
'Possibility to Undermine Credibility'
The authority's announcement declared: "Our investigation found that the documentary's lack of disclosure that the presenter's father held a position in the Hamas-administered authority was significantly deceptive.
"This implied that the public did not have essential details which may have been highly relevant to their judgment of the narrator and the content he presented.
"Confidence is at the core of the bond between a television network and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This error had the potential to damage the significantly high degrees of credibility that audiences would have placed in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was withdrawn from the online platform in last February after the presenter's familial connections were revealed, and in July an corporation's own inquiry concluded it breached the corporation's editorial guidelines on factual correctness.
A corporation official said: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will follow the directive as soon as the date and language are finalised."
