The British broadcaster was found to have committed a "serious breach" of industry standards by failing to disclose that the voice of a film about the Gaza conflict was the son of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has concluded that the programme was "significantly deceptive".
The chief executive of the broadcaster had previously apologised, stating there had been "a serious error in relation to accuracy".
Ofcom has instructed the BBC to air a prime-time announcement about its findings.
"Given this constitutes a serious breach of our regulations, we are ordering the BBC to air a announcement of our determinations against it on BBC2 at 21:00, with a date to be determined," the regulator stated.
'Possibility to Erode Credibility'
The watchdog's report stated: "Our probe determined that the film's lack of disclosure that the presenter's parent served in a position in the Hamas-run government was significantly deceptive.
"This implied that the viewers did not have essential details which may have been very significant to their judgment of the voice and the content he presented.
"Credibility is at the center of the connection between a media organization and its viewers, particularly for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to undermine the exceptionally strong degrees of credibility that the public would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the BBC's streaming service in February after the narrator's family links emerged, and in July an internal BBC review found it violated the corporation's content policies on truthfulness.
A corporation official commented: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a serious error in the film in relation to the corporation's content standards on accuracy, which corresponds to Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we accept Ofcom's decision in its entirety. We will comply with the directive as soon as the schedule and language are confirmed."