The public service broadcaster was found to have committed a "major breach" of industry standards by not revealing that the voice of a film about the Gaza situation was the child of a Hamas administrator, according to regulatory body Ofcom.
An probe by the broadcasting watchdog into the programme Gaza: How to Survive a Warzone has found that the programme was "significantly deceptive".
The chief executive of the broadcaster had already issued an apology, saying there had been "a serious error in relation to truthfulness".
The regulator has ordered the broadcaster to air a peak-time announcement about its decisions.
"Given this constitutes a significant violation of our regulations, we are instructing the BBC to air a announcement of our determinations against it on the BBC's second channel at nine o'clock in the evening, with a schedule to be determined," the statement read.
'Potential to Erode Credibility'
The authority's announcement said: "Our investigation found that the film's failure to disclose that the voice's parent occupied a post in the Hamas-controlled authority was substantially inaccurate.
"This implied that the public did not have essential details which may have been highly relevant to their judgment of the voice and the details he presented.
"Trust is at the center of the relationship between a television network and its audience, especially for a national broadcasting corporation such as the British Broadcasting Corporation.
"This failing had the potential to erode the very considerable degrees of confidence that audiences would have invested in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the online platform in February after the narrator's family links were revealed, and in this past July an broadcaster's internal assessment determined it infringed the corporation's editorial guidelines on factual correctness.
A representative for the broadcaster said: "The Ofcom ruling is in accordance with the findings of the internal assessment, that there was a significant failing in the programme in relation to the corporation's content standards on factual correctness, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in complete. We will comply with the directive as soon as the timing and language are determined."