The public service broadcaster committed a "serious breach" of media regulations by failing to disclose that the narrator of a film about the Gaza situation was the offspring of a Hamas administrator, as determined by British broadcasting authority Ofcom.
An inquiry by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, stating there had been "a major oversight in relation to accuracy".
The regulator has ordered the broadcaster to air a evening announcement about its conclusions.
"Given this constitutes a major infringement of our code, we are ordering the corporation to broadcast a statement of our conclusions against it on the BBC's second channel at 21:00, with a timing to be finalised," the regulator stated.
'Potential to Erode Trust'
The watchdog's statement declared: "The inquiry we conducted determined that the documentary's omission to reveal that the voice's parent occupied a post in the Hamas-controlled authority was significantly deceptive.
"This implied that the viewers did not have vital facts which may have been very significant to their assessment of the presenter and the details he presented.
"Trust is at the heart of the relationship between a television network and its audience, especially for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the possibility to damage the very considerable levels of trust that viewers would have put in a documentary produced by the BBC about the conflict in Gaza."
The film was pulled from iPlayer in February after the presenter's personal associations were revealed, and in July an broadcaster's internal assessment found it infringed the organization's editorial guidelines on factual correctness.
A corporation official stated: "The authority's determination is in line with the findings of the corporation's inquiry, that there was a significant failing in the programme in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of Ofcom's Broadcasting Code.
"We have apologised for this and we agree with the regulator's ruling in full. We will adhere to the penalty as soon as the date and wording are confirmed."