The British broadcaster was found to have committed a "major breach" of media regulations by not revealing that the voice of a film about the Gaza situation was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An investigation by Ofcom into the programme Gaza: How to Survive a Warzone has concluded that the documentary was "materially misleading".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
Ofcom has directed the corporation to transmit a evening declaration about its findings.
"Given this constitutes a significant violation of our code, we are ordering the BBC to transmit 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 finalised," it said.
'Risk to Damage Credibility'
The authority's report said: "Our probe determined that the documentary's omission to reveal that the presenter's male guardian served in a post in the Hamas-run administration was substantially inaccurate.
"It meant that the audience did not have essential details which may have been highly relevant to their evaluation of the narrator and the information he presented.
"Confidence is at the core of the connection between a television network and its audience, especially for a national broadcasting corporation such as the public broadcaster.
"This oversight had the risk to erode the significantly high degrees of confidence that audiences would have placed in a documentary produced by the BBC about the Israel-Gaza war."
The film was pulled from the online platform in last February after the boy's familial connections came to light, and in the month of July an broadcaster's internal assessment concluded it breached the broadcaster's editorial guidelines on accuracy.
A BBC spokesperson said: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with Ofcom's decision in its entirety. We will comply with the directive as soon as the date and wording are determined."