The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the voice of a programme about the Gaza situation was the son of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The head of the BBC had previously apologised, saying there had been "a major oversight in relation to accuracy".
Ofcom has ordered the BBC to broadcast a prime-time statement about its decisions.
"As this represents a major infringement of our code, we are ordering the BBC to air a statement of our findings against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," it said.
'Potential to Undermine Credibility'
The watchdog's report declared: "Our probe determined that the film's omission to reveal that the presenter's male guardian occupied a role in the Hamas-administered authority was significantly deceptive.
"Consequently that the public did not have essential details which may have been very significant to their judgment of the presenter and the details he shared.
"Credibility is at the center of the connection between a television network and its audience, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the possibility to erode the exceptionally strong degrees of trust that viewers would have placed in a BBC factual programme about the Israel-Gaza war."
The programme was pulled from the online platform in the month of February after the presenter's family links were revealed, and in the month of July an broadcaster's internal assessment found it violated the broadcaster's editorial guidelines on accuracy.
A corporation official said: "The regulator's decision is in line 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 corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept the authority's determination in its entirety. We will adhere to the penalty as soon as the timing and language are finalised."
