The British broadcaster engaged in a "major breach" of industry standards by omitting to mention that the voice of a programme about the Gaza conflict was the child of a Hamas administrator, according to regulatory body Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The head of the BBC had earlier expressed regret, stating there had been "a major oversight in relation to accuracy".
Ofcom has ordered the BBC to air a prime-time announcement about its findings.
"Given this constitutes a significant violation of our rules, we are instructing the BBC to transmit a message of our conclusions against it on BBC Two at 9pm, with a timing to be confirmed," the statement read.
'Risk to Undermine Credibility'
The regulator's statement stated: "The inquiry we conducted determined that the film's failure to disclose that the presenter's father held a position in the Hamas-run authority was substantially inaccurate.
"This implied that the audience did not have vital facts which may have been very significant to their judgment of the voice and the details he provided.
"Confidence is at the center of the connection between a television network and its audience, notably for a national broadcasting corporation such as the BBC.
"This error had the potential to damage the very considerable levels of trust that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from iPlayer in February after the presenter's family links emerged, and in July an corporation's own inquiry determined it violated the organization's journalistic standards on truthfulness.
A corporation official stated: "The regulator's decision is in line with the conclusions of the internal assessment, that there was a serious error in the film in relation to the BBC's Editorial Guidelines on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we agree with Ofcom's decision in full. We will comply with the directive as soon as the date and wording are determined."