The public service broadcaster committed a "significant breach" of broadcasting rules by not revealing that the voice of a film about the Gaza situation was the child of a Hamas representative, as determined by UK media regulator Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has determined that the documentary was "materially misleading".
The chief executive of the broadcaster had already issued an apology, stating there had been "a major oversight in relation to accuracy".
The authority has instructed the BBC to transmit a prime-time declaration about its decisions.
"Given this constitutes a serious breach of our rules, we are ordering the BBC to air a announcement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a timing to be finalised," the statement read.
'Potential to Undermine Credibility'
The regulator's announcement declared: "Our probe found that the documentary's omission to reveal that the presenter's male guardian occupied a post in the Hamas-controlled administration was substantially inaccurate.
"Consequently that the viewers did not have critical information which may have been very significant to their evaluation of the presenter and the information he presented.
"Credibility is at the core of the relationship between a television network and its audience, notably for a public service broadcaster such as the British Broadcasting Corporation.
"This error had the possibility to undermine the exceptionally strong levels of trust that the public would have invested in a BBC factual programme about the Gaza conflict."
The documentary was withdrawn from the online platform in February after the boy's familial connections came to light, and in this past July an broadcaster's internal assessment found it infringed the corporation's editorial guidelines on truthfulness.
A corporation official commented: "The regulator's decision is in agreement with the results of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the authority's determination in full. We will adhere to the directive as soon as the timing and language are determined."