The public service broadcaster was found to have committed a "significant breach" of industry standards by not revealing that the voice of a documentary about the Gaza conflict was the offspring of a Hamas official, as determined by regulatory body Ofcom.
An inquiry by the broadcasting watchdog into Gaza: How to Survive a Warzone has found that the film was "substantially inaccurate".
The chief executive of the broadcaster had previously apologised, noting there had been "a serious error in relation to accuracy".
Ofcom has instructed the BBC to transmit a prime-time announcement about its findings.
"Since this amounts to a major infringement of our regulations, we are directing the broadcaster to broadcast a statement of our determinations against it on BBC2 at 9pm, with a timing to be determined," it said.
'Potential to Erode Trust'
The regulator's statement declared: "Our probe found that the film's lack of disclosure that the voice's male guardian held a post in the Hamas-run authority was significantly deceptive.
"It meant that the public did not have critical information which may have been very significant to their evaluation of the narrator and the details he shared.
"Trust is at the center of the connection between a television network and its public, particularly for a public service broadcaster such as the BBC.
"This failing had the risk to erode the significantly high amounts of trust that the public would have put in a documentary produced by the BBC about the Gaza conflict."
The documentary was removed from iPlayer in February after the presenter's family links emerged, and in July an internal BBC review concluded it violated the organization's journalistic standards on accuracy.
A BBC spokesperson said: "The authority's determination is in agreement with the conclusions of the internal assessment, that there was a major oversight in the film in relation to the broadcaster's journalistic policies on truthfulness, which reflects clause 2.2 of the regulator's media standards.
"We expressed regret for this and we comply with the regulator's ruling in complete. We will follow the penalty as soon as the schedule and wording are determined."
