The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by omitting to mention that the narrator of a documentary about the Gaza conflict was the child of a Hamas official, according to regulatory body Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The head of the BBC had already issued an apology, saying there had been "a significant failing in relation to truthfulness".
Ofcom has directed the broadcaster to broadcast a prime-time declaration about its findings.
"Given this constitutes a significant violation of our rules, we are directing the corporation to air a announcement of our findings against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be confirmed," the regulator stated.
'Risk to Damage Trust'
The regulator's statement declared: "Our probe found that the film's lack of disclosure that the voice's father held a position in the Hamas-run government was materially misleading.
"Consequently that the public did not have critical information which may have been highly relevant to their assessment of the narrator and the details he shared.
"Credibility is at the core of the bond between a television network and its audience, especially for a public service broadcaster such as the BBC.
"This oversight had the risk to erode the very considerable amounts of credibility that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The film was withdrawn from iPlayer in February after the boy's familial connections emerged, and in this past July an corporation's own inquiry found it infringed the organization's editorial guidelines on factual correctness.
A representative for the broadcaster said: "The authority's determination is in accordance with the results of the internal assessment, that there was a significant failing in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with clause 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in complete. We will comply with the sanction as soon as the date and wording are finalised."