The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the voice of a film about Gaza was the child of a Hamas official, according to UK media regulator Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has determined that the film was "significantly deceptive".
The BBC's director general had earlier expressed regret, noting there had been "a serious error in relation to truthfulness".
The authority has instructed the broadcaster to air a evening declaration about its decisions.
"Given this constitutes a major infringement of our rules, we are ordering the corporation to broadcast a message of our findings against it on BBC Two at 21:00, with a date to be confirmed," the statement read.
'Possibility to Damage Confidence'
The regulator's report declared: "Our probe found that the documentary's omission to reveal that the voice's father served in a post in the Hamas-run government was significantly deceptive.
"This implied that the public did not have essential details which may have been very significant to their assessment of the narrator and the content he presented.
"Credibility is at the heart of the relationship between a media organization and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to undermine the exceptionally strong amounts of credibility that viewers would have placed in a BBC factual programme about the Gaza conflict."
The film was removed from iPlayer in last February after the boy's familial connections emerged, and in July an corporation's own inquiry determined it infringed the corporation's content policies on accuracy.
A corporation official said: "The authority's determination is in accordance with the results of Peter Johnston's review, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which aligns with Rule 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in full. We will follow the directive as soon as the timing and language are determined."
