The public service broadcaster was found to have committed a "significant breach" of broadcasting rules by failing to disclose that the presenter of a documentary about Gaza was the son of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by the media regulator into the programme Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The BBC's director general had earlier expressed regret, noting there had been "a significant failing in relation to accuracy".
The authority has instructed the broadcaster to broadcast a peak-time announcement about its decisions.
"Since this amounts to a major infringement of our regulations, we are instructing the broadcaster to transmit a message of our determinations against it on BBC2 at nine o'clock in the evening, with a schedule to be confirmed," it said.
'Potential to Erode Credibility'
The watchdog's announcement declared: "Our investigation determined that the programme's omission to reveal that the voice's male guardian occupied a post in the Hamas-run government was substantially inaccurate.
"This implied that the public did not have vital facts which may have been very significant to their judgment of the narrator and the information he shared.
"Trust is at the heart of the connection between a media organization and its audience, especially for a state-funded media outlet such as the public broadcaster.
"This oversight had the risk to damage the significantly high levels of credibility that viewers would have invested in a documentary produced by the BBC about the Israel-Gaza war."
The film was withdrawn from the online platform in the month of February after the presenter's family links were revealed, and in this past July an broadcaster's internal assessment concluded it breached the organization's editorial guidelines on factual correctness.
A representative for the broadcaster said: "The authority's determination is in agreement with the findings of Peter Johnston's review, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which reflects Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we comply with Ofcom's decision in full. We will comply with the penalty as soon as the date and wording are determined."
