The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a programme about Gaza was the child of a Hamas official, as determined by UK media regulator Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, noting there had been "a significant failing in relation to truthfulness".
The authority has directed the broadcaster to transmit a prime-time declaration about its conclusions.
"Given this constitutes a serious breach of our rules, we are instructing the broadcaster to air a statement of our determinations against it on BBC2 at 21:00, with a date to be determined," the statement read.
'Possibility to Undermine Confidence'
The authority's announcement stated: "Our investigation found that the documentary's failure to disclose that the presenter's father held a position in the Hamas-administered authority was substantially inaccurate.
"This implied that the viewers did not have vital facts which may have been very significant to their judgment of the presenter and the information he shared.
"Confidence is at the heart of the bond between a television network and its viewers, especially for a national broadcasting corporation such as the public broadcaster.
"This error had the potential to damage the significantly high degrees of confidence that the public would have placed in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the BBC's streaming service in last February after the boy's personal associations emerged, and in this past July an corporation's own inquiry concluded it violated the broadcaster's editorial guidelines on accuracy.
A corporation official said: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we agree with Ofcom's decision in complete. We will follow the penalty as soon as the date and wording are confirmed."
