The public service broadcaster engaged in a "significant breach" of broadcasting rules by omitting to mention that the voice of a programme about the Gaza situation was the child of a Hamas administrator, as determined by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the documentary was "substantially inaccurate".
The BBC's director general had earlier expressed regret, noting there had been "a major oversight in relation to accuracy".
The authority has directed the BBC to air a prime-time statement about its decisions.
"As this represents a serious breach of our rules, we are ordering the broadcaster to transmit a statement of our findings against it on BBC Two at nine o'clock in the evening, with a schedule to be finalised," the regulator stated.
'Possibility to Undermine Credibility'
The regulator's announcement stated: "Our probe concluded that the film's failure to disclose that the narrator's male guardian held a post in the Hamas-administered administration was substantially inaccurate.
"This implied that the viewers did not have essential details which may have been highly relevant to their assessment of the voice and the information he shared.
"Trust is at the heart of the connection between a media organization and its viewers, especially for a state-funded media outlet such as the public broadcaster.
"This failing had the potential to damage the very considerable amounts of trust that viewers would have placed in a BBC factual programme about the Gaza conflict."
The programme was removed from iPlayer in the month of February after the presenter's personal associations emerged, and in July an internal BBC review determined it violated the broadcaster's content policies on truthfulness.
A BBC spokesperson commented: "The authority's determination is in agreement with the results of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on truthfulness, which corresponds to Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in full. We will comply with the penalty as soon as the date and language are finalised."
