The public service broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the voice of a programme about the Gaza situation was the offspring of a Hamas administrator, as ruled by regulatory body Ofcom.
An probe by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "substantially inaccurate".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to truthfulness".
Ofcom has ordered the corporation to broadcast a evening announcement about its findings.
"As this represents a major infringement of our rules, we are directing the BBC to broadcast a statement of our findings against it on BBC Two at nine o'clock in the evening, with a date to be determined," the regulator stated.
'Possibility to Damage Trust'
The authority's report declared: "Our investigation determined that the programme's lack of disclosure that the presenter's male guardian occupied a role in the Hamas-administered authority was significantly deceptive.
"This implied that the viewers did not have essential details which may have been extremely pertinent to their judgment of the voice and the content he shared.
"Credibility is at the heart of the relationship between a broadcaster and its viewers, notably for a state-funded media outlet such as the public broadcaster.
"This oversight had the possibility to undermine the very considerable levels of confidence that the public would have invested in a documentary produced by the BBC about the conflict in Gaza."
The documentary was withdrawn from iPlayer in last February after the presenter's familial connections were revealed, and in this past July an internal BBC review determined it infringed the corporation's journalistic standards on factual correctness.
A BBC spokesperson commented: "The authority's determination is in agreement with the results of the corporation's inquiry, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on factual correctness, which corresponds to Rule 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we accept Ofcom's decision in complete. We will adhere to the penalty as soon as the date and wording are finalised."
