The public service broadcaster was found to have committed a "significant breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza situation was the offspring of a Hamas representative, according to 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 "materially misleading".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a significant failing in relation to factual correctness".
The regulator has ordered the broadcaster to broadcast a prime-time declaration about its decisions.
"Since this amounts to a significant violation of our rules, we are instructing the broadcaster to broadcast a message of our conclusions against it on the BBC's second channel at 21:00, with a schedule to be confirmed," the regulator stated.
'Possibility to Damage Trust'
The regulator's statement declared: "Our investigation found that the film's failure to disclose that the narrator's father occupied a role in the Hamas-controlled government was significantly deceptive.
"Consequently that the viewers did not have essential details which may have been highly relevant to their judgment of the narrator and the content he shared.
"Confidence is at the heart of the bond between a media organization and its public, particularly for a state-funded media outlet such as the British Broadcasting Corporation.
"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 Israel-Gaza war."
The documentary was removed from the BBC's streaming service in February after the narrator's familial connections were revealed, and in July an broadcaster's internal assessment concluded it breached the corporation's content policies on factual correctness.
A corporation official commented: "The Ofcom ruling is in accordance with the findings of Peter Johnston's review, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which aligns with regulation 2.2 of the regulator's media standards.
"We have apologised for this and we accept the authority's determination in its entirety. We will follow the penalty as soon as the timing and wording are determined."
