The public service broadcaster was found to have committed a "serious breach" of media regulations by failing to disclose that the narrator of a documentary about the Gaza situation was the child of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to accuracy".
The authority has ordered the broadcaster to broadcast a prime-time declaration about its conclusions.
"Since this amounts to a significant violation of our code, we are ordering the corporation to broadcast a statement of our conclusions against it on BBC2 at nine o'clock in the evening, with a date to be determined," it said.
'Risk to Undermine Confidence'
The watchdog's announcement said: "Our probe determined that the programme's omission to reveal that the narrator's male guardian served in a position in the Hamas-administered administration was substantially inaccurate.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their evaluation of the voice and the details he provided.
"Trust is at the center of the bond between a television network and its viewers, notably for a national broadcasting corporation such as the BBC.
"This failing had the possibility to undermine the significantly high amounts of credibility that audiences would have placed in a BBC factual programme about the conflict in Gaza."
The film was pulled from the BBC's streaming service in last February after the presenter's family links came to light, and in this past July an internal BBC review concluded it breached the broadcaster's editorial guidelines on accuracy.
A corporation official commented: "The authority's determination is in agreement with the findings of the corporation's inquiry, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with Ofcom's decision in its entirety. We will follow the penalty as soon as the date and wording are finalised."
