The BBC was found to have committed a "serious breach" of broadcasting rules by not revealing that the voice of a programme about the Gaza conflict was the son of a Hamas official, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The head of the BBC had already issued an apology, saying there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the broadcaster to broadcast a prime-time declaration about its findings.
"Given this constitutes a major infringement of our regulations, we are directing the BBC to air a statement of our conclusions against it on BBC2 at 21:00, with a date to be confirmed," it said.
'Risk to Damage Trust'
The watchdog's announcement stated: "Our investigation determined that the programme's omission to reveal that the presenter's male guardian served in a post in the Hamas-administered administration was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been highly relevant to their assessment of the presenter and the details he provided.
"Confidence is at the heart of the relationship between a broadcaster and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This failing had the possibility to erode the exceptionally strong amounts of confidence that the public would have put in a BBC factual programme about the Gaza conflict."
The film was withdrawn from the online platform in the month of February after the boy's family links came to light, and in this past July an corporation's own inquiry found it violated the broadcaster's editorial guidelines on factual correctness.
A corporation official said: "The regulator's decision is in accordance with the findings of the internal assessment, that there was a serious error in the film in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with the authority's determination in its entirety. We will comply with the penalty as soon as the date and language are finalised."