The public service broadcaster engaged in a "serious breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza situation was the child of a Hamas official, as ruled by UK media regulator Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a serious error in relation to factual correctness".
The authority has directed the corporation to broadcast a peak-time declaration about its conclusions.
"Since this amounts to a significant violation of our code, we are ordering the corporation to broadcast a statement of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be finalised," it said.
'Possibility to Undermine Confidence'
The watchdog's report declared: "Our investigation determined that the documentary's lack of disclosure that the narrator's parent served in a position in the Hamas-administered authority was substantially inaccurate.
"This implied that the audience did not have vital facts which may have been extremely pertinent to their assessment of the presenter and the content he shared.
"Confidence is at the heart of the connection between a television network and its public, especially for a state-funded media outlet such as the public broadcaster.
"This error had the risk to undermine the very considerable degrees of credibility that viewers would have put in a factual film from the broadcaster about the conflict in Gaza."
The documentary was pulled from iPlayer in February after the boy's family links came to light, and in the month of July an internal BBC review found it breached the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The authority's determination is in accordance with the results of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which corresponds to regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the authority's determination in full. We will follow the sanction as soon as the timing and language are determined."
