The public service broadcaster engaged in a "major breach" of media regulations by failing to disclose that the voice of a documentary about the Gaza situation was the son of a Hamas representative, as determined by UK media regulator Ofcom.
An investigation by the media regulator into the programme Gaza: How to Survive a Warzone has determined that the programme was "substantially inaccurate".
The BBC's director general had already issued an apology, noting there had been "a significant failing in relation to truthfulness".
Ofcom has ordered the BBC to transmit a prime-time declaration about its findings.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to transmit a message of our determinations against it on BBC2 at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Risk to Damage Credibility'
The authority's statement stated: "Our investigation concluded that the film's failure to disclose that the narrator's parent held a post in the Hamas-administered administration was materially misleading.
"This implied that the viewers did not have essential details which may have been extremely pertinent to their assessment of the narrator and the details he provided.
"Confidence is at the heart of the relationship between a broadcaster and its viewers, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This error had the possibility to undermine the significantly high levels of confidence that audiences would have placed in a BBC factual programme about the Israel-Gaza war."
The documentary was pulled from iPlayer in February after the boy's familial connections came to light, and in July an broadcaster's internal assessment determined it violated the broadcaster's content policies on accuracy.
A BBC spokesperson commented: "The regulator's decision is in line with the results of the internal assessment, that there was a major oversight in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the authority's determination in complete. We will adhere to the directive as soon as the date and wording are finalised."