The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the voice of a programme about the Gaza situation was the son of a Hamas administrator, as ruled by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has found that the film was "significantly deceptive".
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 directed the broadcaster to broadcast a prime-time announcement about its decisions.
"Given this constitutes a serious breach of our code, we are instructing the broadcaster to air a message of our conclusions against it on BBC2 at nine o'clock in the evening, with a timing to be confirmed," the statement read.
'Possibility to Damage Confidence'
The authority's report stated: "Our probe concluded that the film's failure to disclose that the narrator's parent held a position in the Hamas-controlled government was significantly deceptive.
"This implied that the viewers did not have critical information which may have been highly relevant to their evaluation of the presenter and the content he presented.
"Credibility is at the core of the connection between a broadcaster and its audience, particularly for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable degrees of credibility that viewers would have placed in a documentary produced by the BBC about the Gaza conflict."
The programme was removed from the BBC's streaming service in last February after the boy's personal associations came to light, and in July an internal BBC review determined it infringed the corporation's editorial guidelines on factual correctness.
A corporation official stated: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a significant failing in the documentary 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 accept the regulator's ruling in its entirety. We will follow the sanction as soon as the date and language are confirmed."
