The British broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the presenter of a film about the Gaza situation was the son 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 concluded that the film was "substantially inaccurate".
The head of the BBC had earlier expressed regret, stating there had been "a major oversight in relation to truthfulness".
Ofcom has directed the broadcaster to air a peak-time statement about its conclusions.
"Given this constitutes a serious breach of our code, we are ordering the corporation to air a statement of our determinations against it on the BBC's second channel at 21:00, with a schedule to be finalised," the statement read.
'Risk to Undermine Confidence'
The watchdog's report said: "Our probe found that the film's failure to disclose that the narrator's father served in a role in the Hamas-controlled government was materially misleading.
"Consequently that the public did not have essential details which may have been very significant to their evaluation of the voice and the information he provided.
"Trust is at the heart of the bond between a media organization and its public, particularly for a national broadcasting corporation such as the BBC.
"This failing had the possibility to damage the exceptionally strong degrees of confidence that the public would have put in a factual film from the broadcaster about the Gaza conflict."
The programme was pulled from the BBC's streaming service in February after the boy's family links were revealed, and in July an corporation's own inquiry concluded it infringed the corporation's editorial guidelines on factual correctness.
A BBC spokesperson stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a major oversight in the documentary in relation to the corporation's content standards on factual correctness, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept Ofcom's decision in full. We will follow the penalty as soon as the date and wording are determined."