The British broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the presenter of a programme about the Gaza conflict was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a significant failing in relation to truthfulness".
Ofcom has ordered the broadcaster to air a prime-time declaration about its conclusions.
"As this represents a serious breach of our regulations, we are ordering the BBC to transmit a message of our findings against it on BBC Two at 21:00, with a schedule to be determined," the regulator stated.
'Potential to Erode Confidence'
The regulator's statement stated: "Our probe found that the programme's omission to reveal that the narrator's father served in a position in the Hamas-controlled administration was significantly deceptive.
"This implied that the viewers did not have critical information which may have been highly relevant to their judgment of the voice and the content he presented.
"Trust is at the heart of the bond between a media organization and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to erode the exceptionally strong levels of trust that viewers would have invested in a factual film from the broadcaster about the Gaza conflict."
The film was removed from the BBC's streaming service in February after the boy's familial connections were revealed, and in this past July an broadcaster's internal assessment concluded it infringed the corporation's editorial guidelines on truthfulness.
A corporation official commented: "The regulator's decision is in line with the findings of the corporation's inquiry, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will comply with the penalty as soon as the schedule and language are determined."