The public service broadcaster was found to have committed a "major breach" of broadcasting rules by failing to disclose that the voice of a documentary about Gaza was the offspring of a Hamas administrator, as ruled by British broadcasting authority Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a serious error in relation to factual correctness".
Ofcom has directed the broadcaster to air a prime-time statement about its findings.
"Given this constitutes a significant violation of our code, we are ordering the broadcaster to air a message of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be finalised," the statement read.
'Possibility to Undermine Credibility'
The authority's announcement declared: "The inquiry we conducted concluded that the film's failure to disclose that the presenter's parent held a post in the Hamas-run government was substantially inaccurate.
"Consequently that the audience did not have vital facts which may have been highly relevant to their assessment of the presenter and the content he shared.
"Confidence is at the core of the relationship between a media organization and its public, especially for a national broadcasting corporation such as the BBC.
"This error had the possibility to damage the exceptionally strong amounts of trust that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was removed from iPlayer in the month of February after the boy's family links emerged, and in July an internal BBC review found it breached the corporation's journalistic standards on factual correctness.
A BBC spokesperson commented: "The regulator's decision is in line with the results of Peter Johnston's review, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on factual correctness, which reflects regulation 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with the regulator's ruling in its entirety. We will follow the penalty as soon as the timing and wording are finalised."
