The British broadcaster engaged in a "significant breach" of media regulations by omitting to mention that the narrator of a documentary about the Gaza situation was the child of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The head of the BBC had already issued an apology, saying there had been "a major oversight in relation to accuracy".
The regulator has instructed the BBC to transmit a peak-time statement about its conclusions.
"As this represents a serious breach of our rules, we are directing the corporation to broadcast a announcement of our conclusions against it on BBC2 at 21:00, with a date to be determined," the statement read.
'Possibility to Damage Trust'
The regulator's statement stated: "Our probe found that the film's failure to disclose that the presenter's father held a role in the Hamas-run government was substantially inaccurate.
"Consequently that the audience did not have critical information which may have been very significant to their judgment of the narrator and the content he provided.
"Credibility is at the center of the bond between a television network and its audience, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"This failing had the potential to erode the very considerable degrees of credibility that viewers would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the BBC's streaming service in the month of February after the boy's family links were revealed, and in July an broadcaster's internal assessment concluded it infringed the corporation's content policies on accuracy.
A corporation official commented: "The Ofcom ruling is in agreement with the results of the corporation's inquiry, that there was a major oversight in the documentary in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with Ofcom's decision in full. We will adhere to the sanction as soon as the schedule and wording are confirmed."