The public service broadcaster committed a "significant breach" of media regulations by omitting to mention that the narrator of a programme about Gaza was the child 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 "significantly deceptive".
The chief executive of the broadcaster had previously apologised, stating there had been "a significant failing in relation to factual correctness".
The authority has directed the BBC to air a prime-time statement about its findings.
"Given this constitutes a major infringement of our regulations, we are directing the broadcaster to broadcast a message of our determinations against it on BBC2 at 9pm, with a date to be confirmed," it said.
'Potential to Damage Trust'
The regulator's announcement declared: "Our investigation determined that the film's omission to reveal that the narrator's male guardian occupied a post in the Hamas-run government was materially misleading.
"It meant that the audience did not have essential details which may have been extremely pertinent to their assessment of the narrator and the information he shared.
"Credibility is at the heart of the connection between a media organization and its public, particularly for a state-funded media outlet such as the public broadcaster.
"This failing had the risk to undermine the very considerable degrees of trust that audiences would have invested in a BBC factual programme about the conflict in Gaza."
The film was withdrawn from the BBC's streaming service in last February after the presenter's familial connections were revealed, and in July an internal BBC review concluded it breached the organization's journalistic standards on factual correctness.
A BBC spokesperson commented: "The Ofcom ruling is in line with the findings of the corporation's inquiry, that there was a significant failing in the documentary in relation to the broadcaster's journalistic policies on accuracy, which aligns with Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we comply with the regulator's ruling in full. We will follow the sanction as soon as the timing and language are finalised."