The public service broadcaster committed a "major breach" of industry standards by failing to disclose that the presenter of a programme about the Gaza conflict was the child of a Hamas official, according to UK media regulator Ofcom.
An probe by the media regulator into the programme Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a major oversight in relation to accuracy".
The regulator has instructed the broadcaster to air a peak-time statement about its decisions.
"Given this constitutes a serious breach of our rules, we are ordering the corporation to broadcast a message of our determinations against it on BBC Two at nine o'clock in the evening, with a timing to be determined," the regulator stated.
'Possibility to Undermine Trust'
The regulator's statement stated: "Our probe determined that the documentary's failure to disclose that the voice's male guardian served in a role in the Hamas-run government was substantially inaccurate.
"This implied that the public did not have critical information which may have been extremely pertinent to their assessment of the narrator and the details he presented.
"Credibility is at the heart of the connection between a broadcaster and its viewers, notably for a national broadcasting corporation such as the BBC.
"This error had the possibility to undermine the significantly high amounts of confidence that the public would have placed in a documentary produced by the BBC about the Gaza conflict."
The documentary was withdrawn from the online platform in February after the narrator's family links came to light, and in the month of July an internal BBC review concluded it breached the corporation's editorial guidelines on accuracy.
A corporation official said: "The authority's determination is in accordance with the conclusions of Peter Johnston's review, that there was a serious error in the documentary in relation to the corporation's content standards on truthfulness, which corresponds to clause 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in full. We will follow the penalty as soon as the schedule and language are determined."
