The public service broadcaster engaged in a "major breach" of broadcasting rules by omitting to mention that the voice of a documentary about the Gaza situation was the son of a Hamas representative, as ruled by UK media regulator Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a significant failing in relation to truthfulness".
Ofcom has instructed the corporation to broadcast a prime-time announcement about its decisions.
"Since this amounts to a significant violation of our regulations, we are directing the broadcaster to air a announcement of our determinations against it on BBC Two at 21:00, with a timing to be determined," it said.
'Risk to Damage Confidence'
The authority's report declared: "Our investigation determined that the documentary's failure to disclose that the presenter's male guardian held a position in the Hamas-administered authority was substantially inaccurate.
"It meant that the audience did not have essential details which may have been very significant to their judgment of the presenter and the information he shared.
"Credibility is at the heart of the bond between a television network and its public, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the significantly high amounts of credibility that viewers would have invested in a BBC factual programme about the conflict in Gaza."
The programme was withdrawn from the online platform in February after the boy's family links were revealed, and in this past July an broadcaster's internal assessment determined it breached the corporation's content policies on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in agreement with the conclusions of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with Ofcom's decision in full. We will comply with the penalty as soon as the date and language are confirmed."
