The British broadcaster was found to have committed a "major breach" of industry standards by failing to disclose that the voice of a film about Gaza was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to factual correctness".
The regulator has ordered the broadcaster to air a prime-time announcement about its conclusions.
"Since this amounts to a significant violation of our regulations, we are directing the corporation to transmit a message of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be determined," it said.
'Possibility to Undermine Trust'
The regulator's report declared: "The inquiry we conducted concluded that the programme's omission to reveal that the narrator's male guardian occupied a post in the Hamas-controlled government was significantly deceptive.
"This implied that the public did not have vital facts which may have been very significant to their judgment of the voice and the details he shared.
"Confidence is at the core of the bond between a broadcaster and its public, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the possibility to erode the significantly high degrees of credibility that audiences would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was withdrawn from the BBC's streaming service in February after the presenter's family links were revealed, and in July an broadcaster's internal assessment determined it infringed the corporation's editorial guidelines on truthfulness.
A representative for the broadcaster stated: "The regulator's decision is in accordance with the findings of the corporation's inquiry, that there was a serious error in the documentary in relation to the corporation's content standards on factual correctness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with Ofcom's decision in full. We will adhere to the directive as soon as the schedule and language are confirmed."
