The British broadcaster was found to have committed a "major breach" of broadcasting rules by omitting to mention that the voice of a film about Gaza was the child of a Hamas official, as ruled by regulatory body Ofcom.
An inquiry by Ofcom into Gaza: How to Survive a Warzone has concluded that the programme was "materially misleading".
The chief executive of the broadcaster had already issued an apology, saying there had been "a major oversight in relation to accuracy".
The regulator has instructed the BBC to air a prime-time announcement about its conclusions.
"Given this constitutes a significant violation of our regulations, we are instructing the broadcaster to transmit a announcement of our determinations against it on the BBC's second channel at 9pm, with a timing to be finalised," the statement read.
'Possibility to Undermine Confidence'
The authority's announcement said: "Our investigation concluded that the film's omission to reveal that the narrator's male guardian served in a role in the Hamas-run administration was materially misleading.
"This implied that the viewers did not have critical information which may have been very significant to their judgment of the presenter and the details he shared.
"Trust is at the center of the bond between a television network and its public, particularly for a public service broadcaster such as the BBC.
"This failing had the potential to erode the very considerable levels of credibility that viewers would have invested in a factual film from the broadcaster about the conflict in Gaza."
The programme was removed from the online platform in last February after the narrator's family links came to light, and in this past July an broadcaster's internal assessment determined it breached the broadcaster's editorial guidelines on factual correctness.
A corporation official commented: "The regulator's decision is in agreement with the conclusions of Peter Johnston's review, that there was a major oversight in the programme in relation to the BBC's Editorial Guidelines on truthfulness, which reflects Rule 2.2 of the authority's broadcasting regulations.
"We issued an apology for this and we accept the authority's determination in its entirety. We will adhere to the sanction as soon as the schedule and wording are confirmed."
