The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the narrator of a programme about the Gaza conflict was the child of a Hamas official, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "significantly deceptive".
The head of the BBC had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
Ofcom has directed the corporation to broadcast a prime-time declaration about its decisions.
"Since this amounts to a major infringement of our regulations, we are ordering the corporation to transmit a statement of our conclusions against it on the BBC's second channel at 9pm, with a date to be determined," the regulator stated.
'Risk to Undermine Trust'
The regulator's report declared: "Our probe found that the film's omission to reveal that the narrator's father occupied a post in the Hamas-administered authority was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been highly relevant to their assessment of the narrator and the content he presented.
"Credibility is at the heart of the connection between a broadcaster and its viewers, notably for a state-funded media outlet such as the BBC.
"This error had the potential to undermine the significantly high levels of confidence that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the online platform in February after the presenter's family links emerged, and in July an broadcaster's internal assessment found it violated the corporation's content policies on truthfulness.
A BBC spokesperson said: "The regulator's decision is in agreement with the conclusions of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we agree with the authority's determination in complete. We will follow the directive as soon as the date and wording are confirmed."
