The public service broadcaster engaged in a "significant breach" of industry standards by not revealing that the voice of a documentary about the Gaza conflict was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had previously apologised, saying there had been "a major oversight in relation to factual correctness".
Ofcom has instructed the corporation to air a prime-time declaration about its findings.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to transmit a announcement of our findings against it on the BBC's second channel at 9pm, with a timing to be determined," it said.
'Potential to Erode Confidence'
The watchdog's announcement said: "Our investigation found that the documentary's lack of disclosure that the presenter's male guardian occupied a position in the Hamas-administered administration was substantially inaccurate.
"Consequently that the viewers did not have essential details which may have been highly relevant to their assessment of the narrator and the details he shared.
"Trust is at the core of the relationship between a media organization and its public, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to damage the exceptionally strong levels of credibility that viewers would have invested in a documentary produced by the BBC about the Gaza conflict."
The documentary was removed from the online platform in last February after the narrator's personal associations were revealed, and in this past July an internal BBC review concluded it breached the organization's journalistic standards on accuracy.
A BBC spokesperson said: "The regulator's decision is in agreement with the findings of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on factual correctness, which reflects Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with Ofcom's decision in its entirety. We will comply with the directive as soon as the date and language are finalised."