The public service broadcaster committed a "significant breach" of media regulations by not revealing that the presenter of a documentary about Gaza was the child of a Hamas administrator, as ruled by regulatory body Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the documentary was "substantially inaccurate".
The head of the BBC had already issued an apology, stating there had been "a major oversight in relation to truthfulness".
The regulator has ordered the corporation to broadcast a prime-time declaration about its decisions.
"As this represents a major infringement of our regulations, we are directing the broadcaster to broadcast a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a date to be finalised," the regulator stated.
'Risk to Damage Confidence'
The regulator's statement stated: "Our investigation concluded that the documentary's omission to reveal that the narrator's male guardian served in a post in the Hamas-controlled government was substantially inaccurate.
"It meant that the audience did not have critical information which may have been highly relevant to their judgment of the voice and the information he provided.
"Confidence is at the heart of the connection between a broadcaster and its viewers, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to erode the exceptionally strong amounts of credibility that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the online platform in February after the narrator's family links came to light, and in July an internal BBC review found it violated the corporation's content policies on truthfulness.
A corporation official commented: "The regulator's decision is in line with the conclusions of the corporation's inquiry, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we agree with the regulator's ruling in full. We will follow the penalty as soon as the timing and wording are finalised."