The British broadcaster was found to have committed a "serious breach" of media regulations by omitting to mention that the presenter of a programme about the Gaza situation was the son of a Hamas official, as ruled by regulatory body Ofcom.
An investigation by the broadcasting watchdog into the documentary titled Gaza: How to Survive a Warzone has found that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, noting there had been "a significant failing in relation to accuracy".
The authority has ordered the corporation to broadcast a evening declaration about its decisions.
"Since this amounts to a significant violation of our regulations, we are instructing the broadcaster to air a announcement of our conclusions against it on BBC Two at nine o'clock in the evening, with a timing to be confirmed," the regulator stated.
'Risk to Undermine Credibility'
The regulator's report stated: "Our investigation determined that the film's failure to disclose that the narrator's male guardian served in a post in the Hamas-administered administration was materially misleading.
"Consequently that the audience did not have vital facts which may have been extremely pertinent to their assessment of the narrator and the content he shared.
"Credibility is at the heart of the bond between a media organization and its audience, notably for a public service broadcaster such as the BBC.
"This error had the possibility to damage the significantly high amounts of confidence that the public would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the online platform in February after the presenter's familial connections came to light, and in this past July an internal BBC review determined it violated the corporation's content policies on factual correctness.
A corporation official stated: "The authority's determination is in line with the conclusions of the internal assessment, that there was a significant failing in the film in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the regulator's media standards.
"We issued an apology for this and we accept the authority's determination in complete. We will follow the penalty as soon as the date and wording are finalised."