The public service broadcaster committed a "major breach" of industry standards by omitting to mention that the voice of a programme about Gaza was the son of a Hamas administrator, as determined by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to factual correctness".
Ofcom has directed the corporation to air a prime-time declaration about its findings.
"Since this amounts to a major infringement of our regulations, we are directing the BBC to air a announcement of our findings against it on the BBC's second channel at 21:00, with a date to be determined," the regulator stated.
'Risk to Undermine Credibility'
The authority's announcement said: "The inquiry we conducted found that the documentary's failure to disclose that the voice's male guardian occupied a role in the Hamas-administered administration was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been extremely pertinent to their assessment of the voice and the content he shared.
"Confidence is at the heart of the bond between a broadcaster and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the potential to damage the significantly high degrees of confidence that the public would have invested in a documentary produced by the BBC about the conflict in Gaza."
The documentary was pulled from iPlayer in last February after the presenter's familial connections emerged, and in the month of July an internal BBC review found it breached the organization's editorial guidelines on accuracy.
A representative for the broadcaster commented: "The regulator's decision is in line with the findings of Peter Johnston's review, that there was a serious error in the film in relation to the broadcaster's journalistic policies on factual correctness, which reflects Rule 2.2 of the regulator's media standards.
"We have apologised for this and we agree with Ofcom's decision in complete. We will adhere to the directive as soon as the date and language are confirmed."