The public service broadcaster was found to have committed a "major breach" of media regulations by omitting to mention that the presenter of a film about the Gaza conflict was the son of a Hamas official, according to regulatory body Ofcom.
An investigation by the broadcasting watchdog into 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, stating there had been "a significant failing in relation to truthfulness".
The authority has ordered the corporation to transmit a prime-time declaration about its findings.
"Given this constitutes a serious breach of our code, we are directing the corporation to air a statement of our determinations against it on BBC Two at 21:00, with a date to be finalised," the statement read.
'Potential to Undermine Trust'
The authority's announcement declared: "The inquiry we conducted determined that the documentary's lack of disclosure that the voice's parent held a post in the Hamas-controlled administration was materially misleading.
"It meant that the public did not have essential details which may have been extremely pertinent to their evaluation of the presenter and the details he presented.
"Credibility is at the heart of the relationship between a media organization and its public, notably for a national broadcasting corporation such as the BBC.
"This error had the risk to damage the significantly high degrees of confidence that viewers would have put in a factual film from the broadcaster about the Israel-Gaza war."
The documentary was pulled from the BBC's streaming service in last February after the narrator's familial connections emerged, and in the month of July an corporation's own inquiry determined it breached the corporation's content policies on accuracy.
A representative for the broadcaster said: "The Ofcom ruling is in line with the findings of Peter Johnston's review, that there was a significant failing in the documentary in relation to the corporation's content standards on accuracy, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We have apologised for this and we agree with the regulator's ruling in its entirety. We will follow the sanction as soon as the schedule and wording are determined."