The public service broadcaster was found to have committed a "major breach" of industry standards by omitting to mention that the narrator of a documentary about Gaza was the child of a Hamas official, according to British broadcasting authority Ofcom.
An inquiry by the media regulator into Gaza: How to Survive a Warzone has found that the film was "materially misleading".
The BBC's director general had already issued an apology, saying there had been "a significant failing in relation to factual correctness".
The regulator has instructed the broadcaster to broadcast a prime-time statement about its findings.
"Since this amounts to a major infringement of our code, we are instructing the broadcaster to transmit a announcement of our findings against it on BBC Two at 9pm, with a schedule to be finalised," the regulator stated.
'Potential to Undermine Credibility'
The watchdog's report stated: "The inquiry we conducted concluded that the programme's omission to reveal that the presenter's male guardian occupied a post in the Hamas-controlled authority was substantially inaccurate.
"This implied that the public did not have critical information which may have been highly relevant to their assessment of the presenter and the details he presented.
"Confidence is at the core of the bond between a broadcaster and its viewers, particularly for a public service broadcaster such as the BBC.
"This oversight had the possibility to damage the very considerable degrees of confidence that audiences would have placed in a factual film from the broadcaster about the Gaza conflict."
The film was pulled from iPlayer in last February after the narrator's familial connections were revealed, and in July an corporation's own inquiry found it breached the organization's editorial guidelines on truthfulness.
A representative for the broadcaster commented: "The Ofcom ruling is in accordance with the conclusions of the corporation's inquiry, that there was a serious error in the documentary in relation to the corporation's content standards on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We expressed regret for this and we accept the regulator's ruling in its entirety. We will follow the penalty as soon as the schedule and wording are finalised."