The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the presenter of a film about the Gaza situation was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to accuracy".
The authority has directed the corporation to transmit a peak-time declaration about its conclusions.
"Given this constitutes a significant violation of our code, we are ordering the corporation to transmit a message of our findings against it on the BBC's second channel at 9pm, with a timing to be confirmed," it said.
'Risk to Damage Confidence'
The regulator's report stated: "Our investigation found that the programme's failure to disclose that the presenter's father served in a role in the Hamas-run authority was significantly deceptive.
"Consequently that the viewers did not have critical information which may have been highly relevant to their judgment of the presenter and the content he presented.
"Credibility is at the heart of the relationship between a broadcaster and its audience, particularly for a public service broadcaster such as the BBC.
"This error had the risk to undermine the exceptionally strong levels of credibility that viewers would have put in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was pulled from the online platform in the month of February after the narrator's family links emerged, and in this past July an corporation's own inquiry found it infringed the corporation's content policies on truthfulness.
A corporation official said: "The regulator's decision is in agreement with the findings of the corporation's inquiry, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on factual correctness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in complete. We will comply with the sanction as soon as the date and language are finalised."
