The public service broadcaster was found to have committed a "significant breach" of media regulations by omitting to mention that the voice of a documentary about the Gaza situation was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The head of the BBC had previously apologised, noting there had been "a serious error in relation to accuracy".
The authority has directed the corporation to air a prime-time statement about its decisions.
"As this represents a major infringement of our rules, we are ordering the broadcaster to broadcast a message of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be confirmed," the statement read.
'Possibility to Undermine Trust'
The watchdog's report declared: "Our probe determined that the film's lack of disclosure that the voice's male guardian held a post in the Hamas-run authority was substantially inaccurate.
"It meant that the audience did not have critical information which may have been highly relevant to their judgment of the narrator and the details he shared.
"Confidence is at the center of the connection between a media organization and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This failing had the potential to undermine the exceptionally strong levels of confidence that the public 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The film was withdrawn from the BBC's streaming service in the month of February after the presenter's family links came to light, and in July an corporation's own inquiry concluded it violated the organization's journalistic standards on accuracy.
A corporation official said: "The regulator's decision is in accordance with the results 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 aligns with clause 2.2 of Ofcom's Broadcasting Code.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will follow the sanction as soon as the schedule and wording are determined."
