The British broadcaster committed a "serious breach" of broadcasting rules by omitting to mention that the narrator of a programme about the Gaza conflict was the child of a Hamas representative, as determined by regulatory body Ofcom.
An investigation by the broadcasting watchdog into Gaza: How to Survive a Warzone has determined that the film was "substantially inaccurate".
The chief executive of the broadcaster had earlier expressed regret, saying there had been "a serious error in relation to truthfulness".
The regulator has directed the corporation to transmit a prime-time statement about its findings.
"Given this constitutes a major infringement of our rules, we are ordering the corporation to broadcast a announcement of our conclusions against it on the BBC's second channel at 9pm, with a date to be determined," it said.
'Potential to Undermine Confidence'
The authority's report stated: "The inquiry we conducted found that the documentary's failure to disclose that the narrator's male guardian served in a role in the Hamas-run government was significantly deceptive.
"This implied that the viewers did not have critical information which may have been very significant to their judgment of the presenter and the content he provided.
"Credibility is at the core of the bond between a media organization and its public, notably for a national broadcasting corporation such as the public broadcaster.
"This oversight had the possibility to erode the exceptionally strong levels of credibility that audiences would have placed 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The film was withdrawn from the online platform in the month of February after the narrator's familial connections came to light, and in the month of July an corporation's own inquiry concluded it infringed the organization's editorial guidelines on accuracy.
A representative for the broadcaster stated: "The authority's determination is in accordance with the conclusions of the internal assessment, that there was a significant failing in the programme in relation to the broadcaster's journalistic policies on accuracy, which reflects clause 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we comply with the authority's determination in its entirety. We will follow the sanction as soon as the timing and language are finalised."