The public service broadcaster engaged in a "significant breach" of industry standards by failing to disclose that the narrator of a film about the Gaza situation was the child of a Hamas official, as determined by British broadcasting authority Ofcom.
An inquiry by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a major oversight in relation to truthfulness".
The regulator has instructed the broadcaster to transmit a evening statement about its conclusions.
"Since this amounts to a serious breach of our regulations, we are ordering the corporation to broadcast a statement of our determinations against it on BBC Two at nine o'clock in the evening, with a date to be determined," it said.
'Potential to Erode Credibility'
The watchdog's report said: "Our investigation concluded that the documentary's failure to disclose that the narrator's father served in a position in the Hamas-run authority was significantly deceptive.
"Consequently that the viewers did not have vital facts which may have been highly relevant to their evaluation of the voice and the information he provided.
"Credibility is at the heart of the connection between a media organization and its audience, notably for a national broadcasting corporation such as the British Broadcasting Corporation.
"This error had the risk to damage the very considerable levels of confidence that the public would have put in a documentary produced by the BBC about the conflict in Gaza."
The programme was withdrawn from the BBC's streaming service in the month of February after the boy's familial connections emerged, and in this past July an broadcaster's internal assessment found it breached the broadcaster's journalistic standards on truthfulness.
A BBC spokesperson stated: "The Ofcom ruling is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to regulation 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the authority's determination in its entirety. We will adhere to the sanction as soon as the schedule and wording are finalised."