The public service broadcaster was found to have committed a "serious breach" of industry standards by omitting to mention that the voice of a film about the Gaza conflict was the son of a Hamas official, as determined by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had previously apologised, noting there had been "a major oversight in relation to truthfulness".
The authority has directed the broadcaster to broadcast a peak-time declaration about its conclusions.
"Given this constitutes a significant violation of our code, we are directing the corporation to transmit a announcement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be finalised," the statement read.
'Possibility to Erode Credibility'
The watchdog's report declared: "Our probe determined that the programme's omission to reveal that the presenter's parent served in a role in the Hamas-controlled authority was materially misleading.
"This implied that the viewers did not have critical information which may have been extremely pertinent to their judgment of the presenter and the details he shared.
"Credibility is at the core of the bond between a broadcaster and its public, particularly for a public service broadcaster such as the British Broadcasting Corporation.
"This failing had the possibility to undermine the significantly high amounts of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The documentary was withdrawn from the BBC's streaming service in last February after the narrator's family links were revealed, and in July an broadcaster's internal assessment found it breached the broadcaster's content policies on accuracy.
A corporation official commented: "The authority's determination is in line with the findings of Peter Johnston's review, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept Ofcom's decision in full. We will adhere to the sanction as soon as the date and language are finalised."