The BBC was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the voice of a documentary about the Gaza situation was the son of a Hamas official, as ruled by British broadcasting authority Ofcom.
An investigation by the media regulator into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "substantially inaccurate".
The BBC's director general had earlier expressed regret, stating there had been "a significant failing in relation to accuracy".
The regulator has ordered the corporation to transmit a prime-time announcement about its decisions.
"Since this amounts to a serious breach of our rules, we are directing the corporation to transmit a announcement of our findings against it on BBC Two at 21:00, with a timing to be confirmed," it said.
'Possibility to Damage Credibility'
The regulator's statement declared: "Our probe concluded that the film's lack of disclosure that the narrator's male guardian served in a role in the Hamas-run administration was significantly deceptive.
"It meant that the audience did not have vital facts which may have been highly relevant to their evaluation of the narrator and the details he presented.
"Credibility is at the heart of the relationship between a media organization and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the possibility to erode the exceptionally strong degrees of confidence that viewers would have placed in a documentary produced by the BBC about the conflict in Gaza."
The programme was removed from the online platform in February after the boy's family links emerged, and in the month of July an broadcaster's internal assessment found it violated the broadcaster's editorial guidelines on factual correctness.
A corporation official said: "The authority's determination is in agreement with the findings of the internal assessment, that there was a serious error in the programme in relation to the BBC's Editorial Guidelines on accuracy, which reflects clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we accept the authority's determination in complete. We will follow the penalty as soon as the date and wording are determined."