The public service broadcaster engaged in a "serious breach" of media regulations by omitting to mention that the presenter of a programme about Gaza was the son of a Hamas official, according to UK media regulator Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The head of the BBC had previously apologised, noting there had been "a major oversight in relation to factual correctness".
The regulator has instructed the broadcaster to broadcast a peak-time announcement about its conclusions.
"Since this amounts to a major infringement of our regulations, we are instructing the broadcaster to air a announcement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be finalised," it said.
'Possibility to Erode Credibility'
The regulator's report stated: "Our probe found that the documentary's omission to reveal that the voice's parent served in a post in the Hamas-administered authority was substantially inaccurate.
"It meant that the viewers did not have critical information which may have been highly relevant to their evaluation of the presenter and the information he shared.
"Confidence is at the heart of the connection between a media organization and its public, notably for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to undermine the very considerable degrees of credibility that the public would have put in a BBC factual programme about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the narrator's personal associations emerged, and in the month of July an broadcaster's internal assessment found it breached the organization's journalistic standards on accuracy.
A representative for the broadcaster commented: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of the regulator's media standards.
"We expressed regret for this and we accept the authority's determination in its entirety. We will adhere to the penalty as soon as the date and wording are determined."