The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the voice of a programme about the Gaza conflict was the son of a Hamas representative, as determined by regulatory body Ofcom.
An inquiry by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, saying there had been "a serious error in relation to factual correctness".
Ofcom has instructed the corporation to transmit a prime-time declaration about its conclusions.
"As this represents a serious breach of our code, we are directing the corporation to broadcast a message of our determinations against it on BBC Two at 21:00, with a timing to be determined," the statement read.
'Risk to Erode Confidence'
The authority's report said: "Our investigation determined that the film's omission to reveal that the presenter's father served in a position in the Hamas-controlled administration was materially misleading.
"This implied that the viewers did not have critical information which may have been highly relevant to their evaluation of the narrator and the information he shared.
"Trust is at the center of the relationship between a media organization and its public, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This oversight had the possibility to undermine the exceptionally strong degrees of confidence that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled from the BBC's streaming service in last February after the narrator's family links came to light, and in July an corporation's own inquiry determined it infringed the corporation's journalistic standards on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in accordance with the conclusions of Peter Johnston's review, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in its entirety. We will follow the directive as soon as the date and wording are confirmed."
