The British broadcaster engaged in a "serious breach" of broadcasting rules by omitting to mention that the narrator of a programme about Gaza was the child of a Hamas official, as determined by UK media regulator Ofcom.
An probe by the media regulator into Gaza: How to Survive a Warzone has determined that the documentary was "significantly deceptive".
The BBC's director general had previously apologised, noting there had been "a serious error in relation to factual correctness".
The authority has ordered the corporation to broadcast a prime-time declaration about its decisions.
"Given this constitutes a major infringement of our code, we are directing the corporation to broadcast a announcement of our conclusions against it on BBC Two at 21:00, with a timing to be confirmed," the regulator stated.
'Possibility to Damage Credibility'
The authority's report said: "Our probe concluded that the documentary's failure to disclose that the presenter's male guardian held a post in the Hamas-run authority was materially misleading.
"It meant that the audience did not have vital facts which may have been very significant to their evaluation of the voice and the details he presented.
"Credibility is at the center of the connection between a television network and its audience, notably for a state-funded media outlet such as the public broadcaster.
"This error had the risk to erode 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 removed from iPlayer in last February after the narrator's familial connections were revealed, and in this past July an corporation's own inquiry found it infringed the corporation's editorial guidelines on accuracy.
A corporation official said: "The authority's determination is in agreement with the results of the internal assessment, that there was a serious error in the documentary in relation to the BBC's Editorial Guidelines on accuracy, which corresponds to clause 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the authority's determination in its entirety. We will adhere to the directive as soon as the date and language are confirmed."