The BBC engaged in a "significant breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a serious error in relation to accuracy".
The regulator has ordered the broadcaster to broadcast a prime-time statement about its conclusions.
"Since this amounts to a serious breach of our regulations, we are directing the corporation to broadcast a message of our findings against it on the BBC's second channel at nine o'clock in the evening, with a date to be confirmed," the regulator stated.
'Risk to Undermine Credibility'
The regulator's announcement said: "Our investigation found that the film's omission to reveal that the voice's male guardian held a position in the Hamas-run administration was substantially inaccurate.
"It meant that the audience did not have critical information which may have been highly relevant to their evaluation of the voice and the details he presented.
"Credibility is at the heart of the relationship between a television network and its viewers, notably for a state-funded media outlet such as the BBC.
"This error had the potential to erode the exceptionally strong degrees of confidence that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the BBC's streaming service in last February after the presenter's family links were revealed, and in July an corporation's own inquiry found it violated the organization's journalistic standards on factual correctness.
A representative for the broadcaster stated: "The Ofcom ruling is in accordance with the results of the corporation's inquiry, that there was a serious error in the film in relation to the corporation's content standards on truthfulness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the regulator's ruling in its entirety. We will adhere to the penalty as soon as the date and wording are confirmed."