The public service broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the presenter of a film about Gaza was the offspring of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the film was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
The regulator has instructed the corporation to broadcast a evening statement about its conclusions.
"Given this constitutes a serious breach of our code, we are instructing the BBC to broadcast a message of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a timing to be confirmed," the regulator stated.
'Possibility to Undermine Confidence'
The watchdog's report stated: "The inquiry we conducted found that the programme's lack of disclosure that the voice's parent served in a role in the Hamas-run authority was significantly deceptive.
"It meant that the public did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he shared.
"Confidence is at the heart of the connection between a broadcaster and its audience, especially for a public service broadcaster such as the public broadcaster.
"This oversight had the risk to damage the significantly high amounts of credibility that viewers would have put in a BBC factual programme about the conflict in Gaza."
The programme was pulled from the BBC's streaming service in February after the presenter's family links emerged, and in July an corporation's own inquiry found it infringed the corporation's content policies on truthfulness.
A corporation official commented: "The Ofcom ruling is in accordance with the results of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in its entirety. We will adhere to the sanction as soon as the date and wording are confirmed."