The public service broadcaster was found to have committed a "significant breach" of media regulations by not revealing that the presenter of a programme about the Gaza situation was the offspring of a Hamas official, as determined by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had earlier expressed regret, saying there had been "a serious error in relation to accuracy".
Ofcom has instructed the broadcaster to transmit a prime-time declaration about its findings.
"Since this amounts to a serious breach of our regulations, we are directing the corporation to broadcast a message of our determinations against it on BBC2 at 9pm, with a date to be finalised," the regulator stated.
'Risk to Damage Credibility'
The regulator's announcement said: "The inquiry we conducted determined that the programme's failure to disclose that the narrator's parent occupied a role in the Hamas-administered administration was significantly deceptive.
"Consequently that the audience did not have critical information which may have been very significant to their assessment of the narrator and the details he shared.
"Trust is at the heart of the bond between a media organization and its public, particularly for a state-funded media outlet such as the BBC.
"This failing had the possibility to undermine the significantly high degrees of credibility that the public would have placed in a BBC factual programme about the Gaza conflict."
The film was removed from the BBC's streaming service in last February after the presenter's familial connections came to light, and in this past July an corporation's own inquiry determined it infringed the organization's editorial guidelines on factual correctness.
A representative for the broadcaster commented: "The authority's determination is in line with the results of the corporation's inquiry, that there was a significant failing in the film in relation to the corporation's content standards on accuracy, which aligns with clause 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 wording are confirmed."
