The British broadcaster was found to have committed a "serious breach" of broadcasting rules by failing to disclose that the voice of a film about Gaza was the son of a Hamas official, as ruled by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had earlier expressed regret, stating there had been "a significant failing in relation to factual correctness".
The regulator has ordered the broadcaster to transmit a prime-time statement about its decisions.
"Since this amounts to a serious breach of our rules, we are directing the corporation to air a statement of our conclusions against it on the BBC's second channel at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Risk to Undermine Credibility'
The regulator's report declared: "Our investigation found that the programme's lack of disclosure that the narrator's parent held a role in the Hamas-controlled government was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been highly relevant to their evaluation of the voice and the content he provided.
"Credibility is at the center of the bond between a broadcaster and its public, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the significantly high degrees of credibility that viewers would have invested in a factual film from the broadcaster about the conflict in Gaza."
The film was withdrawn from the BBC's streaming service in February after the boy's family links came to light, and in July an corporation's own inquiry found it violated the broadcaster's content policies on factual correctness.
A corporation official commented: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a significant failing in the documentary in relation to the corporation's content standards on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we comply with the regulator's ruling in full. We will comply with the sanction as soon as the schedule and language are finalised."