The public service broadcaster engaged in a "major breach" of media regulations by omitting to mention that the narrator of a documentary about the Gaza situation was the child of a Hamas representative, as determined by British broadcasting authority Ofcom.
An investigation by the media regulator into Gaza: How to Survive a Warzone has concluded that the film was "materially misleading".
The BBC's director general had previously apologised, saying there had been "a major oversight in relation to accuracy".
Ofcom has ordered the broadcaster to transmit a prime-time declaration about its findings.
"Given this constitutes a serious breach of our regulations, we are directing the corporation to air a statement of our determinations against it on the BBC's second channel at 9pm, with a date to be determined," it said.
'Possibility to Undermine Credibility'
The authority's report said: "Our investigation found that the film's omission to reveal that the presenter's father held a position in the Hamas-administered authority was significantly deceptive.
"It meant that the viewers did not have essential details which may have been very significant to their judgment of the voice and the information he provided.
"Trust is at the heart of the bond between a broadcaster and its audience, notably for a state-funded media outlet such as the British Broadcasting Corporation.
"This oversight had the potential to undermine the very considerable degrees of trust that the public would have put in a factual film from the broadcaster about the conflict in Gaza."
The film was pulled from the online platform in the month of February after the presenter's familial connections were revealed, and in this past July an internal BBC review determined it violated the corporation's editorial guidelines on factual correctness.
A corporation official said: "The regulator's decision is in accordance with the results of Peter Johnston's review, that there was a significant failing in the film in relation to the BBC's Editorial Guidelines on truthfulness, which aligns with regulation 2.2 of Ofcom's Broadcasting Code.
"We issued an apology for this and we comply with the authority's determination in complete. We will comply with the sanction as soon as the date and wording are determined."
